Disclaimer
A lot of my talk are available on YouTube, see here: click. Here is a list (ordered newest first):

Topic: Analytic theory of monoidal categories  part 1 to 5

Topic: Equivariant neural networks and representation theory

Topic: Fractal behavior in monoidal categories

Topic: The mathematics of AI

Topic: Three colors suffice

Topic: Growth and tensor products

Topic: Matrix problems

Topic: Asymptotics and tensor products

Topic: Piecewise linear representation theory

Topic: Categorification: objects and their shadows

Topic: From crystals to cellularity of KLR algebras

Topic: Representations of braids and Howe duality

Topic: A primer on computer algebra

Topic: From crystals to cellularity of wKLRW algebras

Topic: Minimal representations of monoids

Topic: Representations of monoidal categories

Topic: From representation theory of monoids to monoidal categories  part 1 to 3

Topic: Knots and algebra

Topic: On weighted KLRW algebras  Talks 1 and 2

Topic: Monoidal categories and cryptography

Topic: Why (categorical) representation theory?

Topic: Fusion rules for SL2

Topic: 2representation theory of Soergel bimodules

Topic: SL2 and fractals

Topic: Why (modular) representation theory?

Topic: Fractals and modular representations of SL2

Topic: The double centralizer theorem categorified is...?

Topic: Green's theory of cells in categorification

Topic: On categories of tilting modules  Talk 1 and 2

Topic: 2representations of Soergel bimodules

Topic: A primer on finitary 2representation theory

Topic: Some webs and qHowe dualities in types BCD
 Lecture series
 Topic: Analytic theory of monoidal categories  Or: Strategies for avoiding counting; Talk (in person) at the University of York (July 2024). Talk 1, general setting: Slides, Talk 2, finite groups: Slides, Talk 3, SL2: Slides, Talk 4, dual setting: Slides, Talk 5, monoidal categories: Slides
 Topic: Magma in a nutshell  Or: Magma Mondays; Keywords: learning Magma, computer algebra system. Slides; Lecture notes: Click
 Topic: Cell theory  Or: Representation theory of monoids, algebras and monoidal categories; Talk (in person) at the University of Oregon (August 2022). Slides1, Slides2, Slides3. Exercises: Part1, Part2, Part3
 Talks for a more general (mathematically minded) audience
 Topic: Equivariant neural networks and representation theory  Or: Beyond linearity; Keywords: machine learning, deep learning, group actions, representation theory. Slides
 Topic: The mathematics of AI  Or: Learning = forward, loss, backward; Keywords: machine learning, deep learning. Slides
 Topic: Three colors suffice  Or: SO3 webs in action; Keywords: Four color theorem, diagrammatic algebra. Slides
 Topic: Magma in a nutshell  Or: Magma Mondays; Keywords: learning Magma, computer algebra system. Slides; Lecture notes: Click
 Topic: Piecewise linear representation theory  Or: Nonlinear, but still rep theory; Keywords: representation theory, machine learning. Slides
 Topic: A primer on computer algebra  Or: Faster than expected; Keywords: Computer algebra, fast multiplication, fast Fourier transform. Slides
 Series with topic: Cell theory  Or: Representation theory of monoids, algebras and monoidal categories; Keywords: Monoids, Green's relations, sandwich cellular, cells, H reduction, classification theorems, categorification. Slides1, Slides2, Slides3
 Topic: Knots and algebra  Or: Quantum algebra = geometry + algebra; Keywords: Knots, knot invariants, Jones polynomial, quantum algebra. Slides
 Topic: Categorical representation theory and applications  Or: Functors, not matrices; Keywords: representation theory, categorification, categorical representation theory, applications. Slides
 Topic: Representation theory of monoids and monoidal categories  Or: Cells and actions; Keywords: Monoids, Green's relations, cells, H reduction, classification theorems, categorification. Slides
 Topic: Subfactors in a nutshell  Or: ADE and all that; Keywords: History, TemperleyLieb algebra, Jones' subfactors, planar algebras, ADE classification. Slides
 Topic: TemperleyLieb times four  Or: Invariant theory, magnetism, subfactors and skein; Keywords: History, TemperleyLieb algebra, the RumerTellerWeyl construction, Jones' subfactors, Kauffman calculus. Slides
 Topic: A brief, incomplete, and mostly wrong history of quantum groups  Or: From ice to Rmatrices; Keywords: History, quantum groups, YangBaxter equation. Slides
 Topic: Why (categorical) representation theory?  Or: Representing symmetries; Keywords: Representation theory, categorical representation theory, 2representation theory, categorification. Slides
 Topic: What is...finitary 2representation theory?  Or: A (fairy) tale of matrices and functors; Keywords: Representation theory, integral representation theory, categorical representation theory, 2representation theory, categorification. Slides
 Topic: What is...(2)representation theory?  Or: A (fairy) tale of matrices and functors; Keywords: Representation theory, integral representation theory, categorical representation theory, 2representation theory, categorification. Slides
 Topic: 2representation theory in a nutshell  Or: \(\mathbb{N}_0\)matrices, my love; Keywords: Representation theory, integral representation theory, categorical representation theory, 2representation theory, categorification. Slides
 Topic: 2representation theory in a nutshell  Or: A tale of matrices and functors; Keywords: Representation theory, integral representation theory, categorical representation theory, 2representation theory, categorification. Slides
 Topic: Categorification: An introduction to \(\mathfrak{sl}_n\)link homologies  Or: Webs and homology; Keywords: Webs, Khovanov homology, link homology. Slides
 Topic: Why category theory?  Or: Some history of category theory; Keywords: History, category theory, EilenbergMac Lane, categorifcation. Slides
 Talks given in 2024
 Topic: Equivariant neural networks and representation theory  Or: Beyond linearity; Talk (in person) at the University of York (July 2024). Slides
 Topic: Analytic theory of monoidal categories  Or: Strategies for avoiding counting; Talk (in person) at the University of York (July 2024). Talk 1, general setting: Slides, Talk 2, finite groups: Slides, Talk 3, SL2: Slides, Talk 4, dual setting: Slides, Talk 5, monoidal categories: Slides
 Topic: Fractal behavior in monoidal categories  Or: SL2, Cantor and Sierpinski; Talk (online) at Beijing Institute of Technology (June 2024). Slides
 Topic: Counting in tensor products  Or: Exponential growth everywhere; Talk (online) at Feza Gursey Research Center for Physics and Mathematics (May 2024). Slides
 Topic: The mathematics of AI  Or: Learning = forward, loss, backward; Talk (in person) at the University of Sydney (April 2024). Slides
 Topic: Three colors suffice  Or: SO3 webs in action; Talk (in person) at the University of Southern California (January 2024). Slides
 Topic: Growth and tensor products  Or: OMG exponential growth; Talk (in person) at Institute for Pure and Applied Mathematics (January 2024). Slides
 Talks given in 2023
 Topic: Magma in a nutshell  Or: Lecture 4  Representation theory of finite dimensional algebras; Talk (in person) at the University of Sydney (November 2023). Slides
 Topic: Magma in a nutshell  Or: Lecture 0  Types, conditionals and loops; Talk (in person) at the University of Sydney (October 2023). Slides
 Topic: Asymptotics and tensor products  Or: I love matrices; Talk (in person) at the University of Sydney (August 2023). Slides
 Topic: Matrices and moduli  Or: Almost all = boring?; Part 2; Talk (in person) at the University of Sydney (August 2023). Slides
 Topic: Matrices and quivers  Or: Complexity jumps; Part 1; Talk (in person) at the University of Sydney (August 2023). Slides
 Topic: Piecewise linear representation theory  Or: Nonlinear, but still rep theory; Talk (in person) at the A.K.S.S. Foundation Schools of Spetses (July 2023). Slides
 Topic: Growth rates in tensor powers  Or: Jupiter and friends; Talk (in person) (July 2023). Slides
 Topic: Categorification: Objects and their shadows  Or: Homology and actions; Talk (online) at the University of New South Wales (June 2023). Slides
 Topic: Semisimplifications of tilting modules  Or: \(\mathcal{R}\mathrm{ep}(G)\) everywhere!?; Talk (in person) (June 2023). Slides
 Topic: Representations of braids and Howe duality  Or: Large = good; Talk (in person) at the Australian National University(May 2023). Slides
 Topic: A primer on computer algebra  Or: Faster than expected; Talk (in person) at the University of Sydney (April 2023). Slides
 Topic: Examples of analytic methods in tensor categories  Or: Assume n is large; Talk (in person) (April 2023). Slides
 Talks given in 2022
 Topic: Crystals and cellularity of wKLRW algebras  Or: String games; Talk (in person) at the National University of Singapore (December 2022). Slides
 Topic: From crystals to cellularity of wKLRW algebras  Or: From path to strings; Talk (in person) at the 66th Annual Meeting of the Australian Mathematical Society (December 2022). Slides
 Topic: Minimal representations of monoid  Or: The smallest nontrivial; Talk (in person) at the University of Sydney (December 2022). Slides
 Topic: Representations of monoidal categories  Or: Reps of categories of reps; Talk (online) at the Technische Universität Dresden (October 2022). Slides
 Topic: wKLRW algebras and crystals  Or: From path to strings; Talk (in person) at the Mathematisches Forschungsinstitut Oberwolfach (MFO) (September 2022). Slides
 Series with topic: Cell theory  Or: Representation theory of monoids, algebras and monoidal categories; Talk (in person) at the University of Oregon (August 2022). Slides1, Slides2, Slides3. Exercises: Part1, Part2, Part3
 Topic: Categorical representation theory and application  Or: Functors, not matrices; Talk (online) at the Technische Universität München (July 2022). Slides
 Topic: Representation theory of monoids and monoidal categories  Or: Cells and actions; Talk (in person) at the University of New South Wales (June 2022). Slides
 Topic: Subfactors in a nutshell  Or: ADE and all that; Talk (in person) at the University of Sydney (May 2022). Slides
 Topic: On weighted KLRW algebras  Or: Diagrammatic interpolation; Talk (online) at the Beijing Institute of Technology (April 2022). Slides
 Topic: TemperleyLieb times four  Or: Invariant theory, magnetism, subfactors and skein; Talk (in person) at the University of Sydney (March 2022). Slides
 Topic: Some history of quantum groups  Or: From ice to Rmatrices; Talk (in person) at the University of Sydney (March 2022). Slides
 Topic: Monoidal categories, representation gap and cryptography  Or: Why I like dimensions; Talk (in person) at the University of Sydney (March 2022). Slides
 Topic: On weighted KLRW algebras  Or: Mind the distance; Talk (online) at the Okinawa Institute of Science and Technology Graduate University (February 2022). Slides
 Talks given in 2021
 Topic: Diagrammatics and cryptography  Or: Not too small, please!; Talk (online) at Newcastle University (December 2021). Slides
 Topic: Monoidal categories and cryptography  Or: Monoids in action; Talk (online) at AustMS2021, the 2021 meeting of the Australian Mathematical Society (December 2021). Slides
 Topic: Aspects of (categorical) representation theory  Or: Topology, modular representations and categories; Talk (online) at Aarhus University (August 2021). Slides
 Topic: Why (categorical) representation theory?  Or: Representing symmetries; Talk (online) at the Okinawa Institute of Science and Technology Graduate University (August 2021). Slides
 Topic: Fusion rules for \(\mathrm{SL}_{2}\)  Or: A toy example of modular representation theory; Talk (online) at the RepNet Virtual Seminar (July 2021). Slides
 Topic: 2representation of Soergel bimodules  Or: Take degree zero; Talk (online) at the Joint meeting of the British Mathematical Colloquium (BMC) and the British Applied Mathematics Colloquium (BAMC) (April 2021). Slides
 Topic: \(\mathrm{SL}_{2}\) and fractals  Or: Modular representation theory in a toy example, Talk (online) at the University of Birmingham and University of Warwick (March 2021). Slides (videos in the slides: Click and click)
 Topic: Why (modular) representation theory?  Or: Fractals and \(\mathrm{SL}_{2}\), Talk (online) at the University of Oklahoma (February 2021). Slides (videos in the slides: Click and click)
 Topic: Fractals and modular representations of \(\mathrm{SL}_{2}\)  Or: All I know about \(\mathrm{SL}_{2}\), Talk (online) at Newcastle University (February 2021). Slides (videos in the slides: Click and click)
 Topic: The double centralizer theorem categorified is...?  Or: Two different and yet similar answers, Talk (online) at the Universität Bonn (January 2021). Slides
 Talks given in 2020
 Topic: Green's theory of cells in categorification  Or: Mind your cells!, Talk (online) at Columbia University (December 2020). Slides
 Topic: On categories of tilting modules  Or: Mind your poles!, Talk (online) at the University of Georgia (October 2020). Slides
 Topic: What is...2representation theory?  Or: Why do I care?, Talk (online) at the Hausdorff Institute of Mathematics (September 2020). Slides
 Topic: On categories of tilting modules  Or: Mind your poles!, Talk (online) at the University of Oregon (August 2020). Slides
 Topic: Why 2representation theory?  Or: Representation theory of the 21th century!?, Talk (online) at Trinity College Dublin (April 2020). Slides, Slides2
 Topic: 2representation of Soergel bimodules  Or: Mind your twists; Talk at the Joint meeting of the British Mathematical Colloquium (BMC) and the British Applied Mathematics Colloquium (BAMC) (April 2020, but postponed; here what I planned to talk about). Slides
 Topic: Why 2representation theory?  Or: Representation theory of the 21th century!?, Talk at the Vrije Universiteit Brussel (March 2020). Slides, Slides2, Slides3
 Topic: All I know about ArtinTits groups  Or: Why type A is so much easier...; Talk at Université Paris Diderot, (March 2020). Slides
 Topic: What is...2representation theory?  Or: Of matrices and functors, Talk at the Universität Graz (January 2020). Slides, Slides2
 Talks given in 2019
 Topic: 2representations of Soergel bimodules I  Or: \(\mathcal{H}\)cells and asymptotes; Talk at Casa Matemática Oaxaca (CMO), (December 2019). Slides
 Topic: 2representations of Soergel bimodules  Or: Mind your groups; Talk at Columbia University, (September 2019). Slides
 Topic: 2representations of Soergel bimodules  dihedral case  Or: Who colored my Dynkin diagrams?; Talk at Columbia University, (September 2019). Slides
 Topic: Dihedral groups, \(\mathrm{SL}(2)_{q}\) and beyond  Or: Who colored my Dynkin diagrams?; Talk at the University of East Anglia, (July 2019). Slides
 Topic: 2representation theory of Soergel bimodules  Or: Mind your groups; Talk at Karlsruhe Institute for Technology, (June 2019). Slides
 Topic: All I know about ArtinTits groups  Or: Why type A is so much easier...; Talk at Uppsala universitet, (April 2019). Slides
 Topic: A tale of dihedral groups, \(\mathrm{SL}(2)_q\), and beyond  Or: Who colored my Dynkin diagrams?; Talk at the Vrije Universiteit Brussel (VUB) and the Université libre de Bruxelles (ULB) and the Université catholique de Louvain (UCL), (March 2019). Slides
 Topic: Handlebodies, ArtinTits and HOMFLYPT  Or: All I know about ArtinTits groups; and a filler for the remaining 59 minutes; Talk at the University of Sydney, (March 2019). Slides
 Topic: Handlebodies, ArtinTits and HOMFLYPT  Or: All I know about ArtinTits groups; and a filler for the remaining 59 minutes; Talk at the University of Melbourne, (March 2019). Slides
 Topic: What is...finitary 2representation theory?  Or: A (fairy) tale of matrices and functor; Talk at the Australian National University (ANU), (February 2019). Slides
 Topic: A tale of dihedral groups, \(\mathrm{SL}(2)_q\), and beyond  Or: Who colored my Dynkin diagrams?; Talk at the Australian National University (ANU), (February 2019). Slides, Notes
 Topic: HOMFLYPT homology for links in handlebodies  Or: All I know about ArtinTits groups; and a filler for the remaining 49 minutes, Talk at the Australian National University (ANU), (February 2019). Slides
 Topic: HOMFLYPT homology for links in handlebodies  Or: All I know about ArtinTits groups; and a filler for the remaining 59 minutes, Talk at the Vrije Universiteit Brussel (VUB) and the Université libre de Bruxelles (ULB) and the Université catholique de Louvain (UCL), (January 2019). Slides
 Topic: A primer on finitary 2representation theory  Or: \(\mathbb{N}_{0}\)matrices, my love, Talk at the Erwin Schrödinger International Institute for Mathematics and Physics (January 2019). Slides
 Talks given in 2018
 Topic: Generalizing zigzag algebras  Or: It's all about polynomials, Talk at the University of Southern California (November 2018). Slides
 Topic: What is...(2)representation theory?  Or: A (fairy) tale of matrices and functors, Colloquium talk at the ETH Zürich and the Universität Zürich (October 2018). Slides
 Topic: 2representation theory in a nutshell  Or: \(\mathbb{N}_{0}\)matrices, my love, Talk at the ETH Zürich (October 2018). Slides
 Topic: A tale of dihedral groups, \(\mathrm{SL}(2)\), and beyond  Or: \(\mathbb{N}_{0}\)matrices, my love, Talk at the Universität Freiburg (July 2018). Slides
 Topic: Di and trihedral (2)representation theory I  Or: Who colored my Dynkin diagrams?, Talk at the Institute MittagLeffler (July 2018). Slides; Part II by Marco Mackaay: Slides
 Topic: 2representation theory in a nutshell  Or: A tale of matrices and functors, Talk at the Universität Hamburg (June 2018). Slides
 Topic: Link invariants and orbifolds  Or: What makes types \(\mathrm{ABCD}\) special?, Talk in Aarhus at the QGM (April 2018). Slides
 Topic: Link invariants and \(\mathbb{Z}/2\mathbb{Z}\)orbifolds  Or: What makes types \(\mathrm{ABCD}\) special?, Talk at a conference in Riederalp (January 2018). Slides
 Talks given in 2017
 Topic: Categorical representations of dihedral groups  Or: \(\mathbb{Z}_{\geq 0}\)valued matrices, my love, Talk at the Universidade do Algarve (September 2017). Slides
 Topic: Webs and \(\mathrm{q}\)Howe dualities in types \(\mathbf{BCD}\)  Or: “Howe” not to define link invariants, Talk at University of Cambridge (June 2017). Slides
 Topic: 2representation theory of Coxeter groups: a biased survey  Or: The next generation of representation theory of Coxeter groups!?, Talk at Universität Zürich (April 2017). Slides
 Topic: Webs and \(\mathrm{q}\)Howe dualities in types \(\mathbf{BCD}\)  Or: A story about “howe” I failed, Talk at Uppsala universitet (April 2017). Slides
 Topic: 2representation theory of Coxeter groups: some first steps  Or: The next generation of representation theory of Coxeter groups!?, Talk at Columbia University (February 2017). Slides
 Talks given in 2016
 Topic: Some first steps towards 2representation theory of Coxeter groups  Or: The next generation of representation theory of Coxeter groups!?, Talk at the Université catholique de Louvain (October 2016). Slides
 Topic: Some first steps towards 2representation theory of Coxeter groups  Or: The next generation of representation theory of Coxeter groups!?, Talk at the Université de Montpellier (October 2016). Slides
 Talks given in 2015
 Topic: (Singular) TQFTs, link homologies and Lie theory 2  Or: Fun with singular surfaces, Talk at the School of Mathematics of the University of Edinburgh (November 2015). Slides
 Topic: (Singular) TQFTs, link homologies and Lie theory 1  Or: A story of foams and \(\mathcal{O}\), Talk at the School of Mathematics of the University of Edinburgh (November 2015). Slides
 Topic: Web calculi in representation theory  Or: The diagrammatic presentation machine, Talk at Mathematisch Instituut of the Universiteit Leiden (October 2015). Slides
 Topic: Cellular structures using \(\textbf{U}_q\)tilting modules  Or: Centralizer algebras are fun!, Talk at the 2015 annual meeting of the Deutschen MathematikerVereinigung (DMV), Hamburg (September 2015). Slides
 Topic: Web calculi in representation theory  Or: The diagrammatic presentation machine, Talk at MaxPlanckInstitut for mathematics (MPIM) of the Universität Bonn (August 2015). Slides
 Topic: Cellular structures using \(\textbf{U}_q\)tilting modules  Or: Centralizer algebras are fun!, Talk at the Mathematisches Institut of the Universität Freiburg (July 2015). Slides
 Topic: From dualities to diagrams  Or: The diagrammatic presentation machine, Talk at the Institut de Mathématiques de Jussieu (IMJ) in Paris (June 2015). Slides
 Topic: \(\textbf{U}_q(\mathfrak{gl}_N)\)diagram categories via super \(q\)Howe duality  Or: The diagrammatic presentation machine, Talk at the Mathematics Department of the Faculty of Sciences of the University of Porto (June 2015). Slides
 Topic: From dualities to diagrams  Or: The diagrammatic presentation machine, Talk at the Erwin Schrödinger Institute (ESI) in Vienna (May 2015). Slides
 Topic: Cellular structures using \(\textbf{U}_q\)tilting modules  Or: Centralizer algebras are fun!, Talk at the Mathematisches Institut of the Universität Bonn (April 2015). Slides
 Topic: \(\textbf{U}_q(\mathfrak{sl}_n)\)diagram categories via \(q\)Howe duality  Or: From dualities to diagrams, Talk at the Hausdorff Research Institute for Mathematics (HIM) in Bonn (March 2015). Slides
 Topic: \(\textbf{U}_q(\mathfrak{sl}_n)\)diagram categories via \(q\)Howe duality  Or: “Howe” to make diagrammatic categories work!, Talk at the University of Sydney (February 2015). Slides
 Topic: \(\textbf{U}_q(\mathfrak{sl}_n)\)diagram categories via \(q\)Howe duality  Or: “Howe” to make diagrammatic categories work!, Talk at the Université catholique de Louvain (February 2015). Slides
 Talks given in 2014
 Topic: Diagram categories for \(\textbf{U}_q\)tilting modules at roots of unity  Or: Fun with diagrams!, Talk at the QGM Nielsen Retreat 2014, Sandbjerg Estate (October 2014). Slides
 Topic: Categorification in topology  Or: Fun with highest weight modules!, Minitalk at the MFO, Oberwolfach (September 2014). Slides
 Topic: \(\dot{\mathbf{U}}_q(\mathfrak{sl}_m)\)highest weight theory governs \(\mathfrak{sl}_n\)link homology, Talk at the Université catholique de Louvain (May 2014). Slides
 Topic: \(\mathfrak{sl}_n\)link homologies using \(\dot{\mathbf{U}}_q(\mathfrak{sl}_m)\)highest weight theory  the \(m\) is not a typo!, Talk in Aarhus at the QGM (April 2014). Slides
 Topic: Categorification: An introduction to \(\mathfrak{sl}_n\)link homologies, Talk at the Kerala School of Mathematics (KSOM), Kerala (March 2014). Slides
 Topic: \(\mathfrak{sl}_n\)link homologies using \(\dot{\mathbf{U}}_q(\mathfrak{sl}_m)\)highest weight theory, Summary of my research in the first quarter 2014 at the Kerala School of Mathematics (KSOM), Kerala (March 2014). Slides
 Topic: The diagrammatic beauty of \(\mathbf{Rep}(\mathbf{U}_q(\mathfrak{sl}_n))\)  Part II, Talk at the TATA Institute (TIFR), Mumbai (March 2014). Slides
 Topic: The diagrammatic beauty of \(\mathbf{Rep}(\mathbf{U}_q(\mathfrak{sl}_n))\)  Part I, Talk at the TATA Institute (TIFR), Mumbai (March 2014). Slides
 Talks given before 2014
 Topic: \(\mathfrak{sl}_3\)web bases, categorification and link invariants, Talk in Aarhus (November 2013). Slides
 Topic: \(\mathfrak{sl}_3\)web bases, intermediate crystal bases and categorification, Talk in Bonn (October 2013). Slides
 Topic: Web bases and categorification, Talk in Aarhus at the QGM (October 2013). Slides
 Topic: Categorification and applications in topology and representation theory, Talk in Göttingen (July 2013). Slides
 Topic: Categorification and (virtual) knots, Talk in San Francisco (February 2013). Slides
 Topic: The sl_{3} web algebra, Talk in Goslar (October 2012). Slides
TeX files etc.
The TeX files for the talks are freely available at: https://github.com/dtubbenhauer/MyTeXfiles.git
If I gave a LaTex beamer talk, then I will upload the corresponding
slides here (scroll down). Talks without a LaTex beamer
presentation are not mentioned. Note that these are delivered as they are,
with no attempt at improving them.
A list of my talks
Talk list: available here.