Winter school:
Categorification,
representation theory
and symplectic geometry
Hausdorff Research Institute for Mathematics (HIM) and Mathematical Institute of the University of Bonn
November 20 - November 24, 2017
Contact in case of questions:
Anne-Laure Thiel email, Daniel Tubbenhauer email
News
YouTube videos of the talks can be found
here.
Slides for Mathas' talks:
first,
second,
third,
last.
The first talk of Mazorchuk's lectures was sadly not recorded properly.
However, here are Mathas' lectures notes (for all four lectures):
click.
The posters can be found
here.
Some slides for the minitalks:
González,
Jensen,
Koppensteiner,
Lenzen,
Naisse,
Zhang,
Zhu.
The group photo can be found here.
Related programs
There is an additional workshop,
see here
and
here
The winter school and the workshop are part of the
Junior Hausdorff Trimester Program
“Symplectic Geometry and Representation Theory”
of the Hausdorff Research Institute.
Also part of the program is the
“Workshop: Quantum geometric and algebraic representation theory”
organized by Sam Gunningham and Travis Schedler,
see here,
and the “Workshop
$A_\infty$-structures in geometry and representation theory”
organized by Gustavo Jasso
and
Julian Külshammer,
see here
List of speakers giving a lecture series
- Eugene Gorski (University of California Davis); Title: Hilbert schemes and knot homology
- Yankı Lekili (King's College London); Title: Fukaya categories and their appearance in representation theory
- Andrew Mathas (University of Sydney); Title: Cyclotomic KLR algebras
- Volodymyr Mazorchuk (Uppsala University); Title: Introduction to 2-representation theory
- Catharina Stroppel (Universität Bonn); Title: Springer fibres and generalised KLR algebras
Abstracts can be found
here.
Poster session
There will be a poster session where PhD students and postdocs can
present their work. If you want to present a poster
please let us know via email.
(You have to be registered to present a poster, see below.)
There are also minitalks by some of the authors of the posters. Here is the schedule:
here.
Some slides and the poster are linked above.
Program
The program can be found
here.
Participants
A list of participants can be found
here.
General information
Some introductory words
There is a fruitful interplay between
categorification, representation theory
and symplectic geometry,
and our intention is to highlight some of it in detail.
To understand the deep interplay of these
fields is a far-fetched goal,
but we hope to organize the winter school and the workshop such
that at least
some interactions become clear.
Aim and scope of the winter school
The winter school is indented to present a biased choice of topics
concerning “categorification, representation theory and symplectic geometry”.
We hope to bring together researchers as well as
students who want to learn more about
the various presented aspects of these broad fields.
Structure of the lectures
The main speakers will give a series of introductory lectures
on various aspects of modern mathematics as e.g.:
- Khovanov and HOMFLY-PT homology and its relation to geometry and representation theory
- Fukaya categories and their appearance in topology
- Graded representation theory of the symmetric group via KL-R algebras and related questions
- Representation theory of 2-categories a.k.a. “higher” representation theory
- Lie theoretic aspects of categorification
Each lecture is a 60 minutes talk (plus time for questions),
and the lectures will be held in the Lecture hall of the
Hausdorff Research Institute of the University of Bonn.
There will be 4-5 lectures per speaker which hopefully gives
enough time for a deeper understanding of the topics above.
Registration
The seat
limit of the lecture hall has been reached, and
THE REGISTRATION IS NOW CLOSED. If you still want to attend the
winter school, then please contact the organizers and you will be put on
waiting list. If there is any cancelation, then you will be contacted.
If you are interested in participating, please complete the online application form
click
Local people from Bonn should please contact
Anne-Laure Thiel
email
or Daniel Tubbenhauer email.
Please place [Winter school] in the subject line of your email, and please include your name and affiliation.
Make sure that you register if you want to participate
due to seats constraints.
Support
Financial support for PhD students and postdocs is available. Please complete the online application form
click
Local Information
Venue
The lectures will take place in the Lecture hall of the Hausdorff Research Institute.
Here is the address:
Lecture Hall
Hausdorff Research Institute for Mathematics
Poppelsdorfer Allee 45
53115 Bonn
Germany
Here is how you can find the the HIM and the Institute (called Math Center on the map):
(Click for a large pdf version.)
To go to the HIM:
It is a five minute walk from the main train station to the HIM.
Leave the station with your back facing towards the city. Turn left
and walk approximately 100 meters until you hit a cross
street called Poppelsdorfer Allee. You will see Schloss Poppelsdorf
at the end of this street. The HIM can be found at the left-hand side
of this street, Number 45, the HIM administration on the right-hand side,
Number 82. (Both seen while facing Schloss Poppelsdorf.)
To go to the institute:
The bus stop Kaufmannstraße is located right
in front of the Mathematik-Zentrum, Endenicher Allee 60. Lines 604,
605, 606, 607
(from and to the main train station Bonn Hbf), line 631 and night bus line
N2 (after midnight) stop here.
Some useful maps
Here a pdf with some hopefully useful maps:
click
Some places to eat close to the HIM and the Institute can be found
here
But there are also several good restaurants in the main part of the city.
WiFi
There is eduroam available which works at the HIM and the whole institute.
If you do not have eduroam, then it is also possible to get a
guest account.
Accommodation
We will take care of booking a hotel for registered participants.
All other participants are asked to make their own hotel reservation.
Here are some hotels close to the institute:
- Hotel Krug, walking
distance to the institute: 15 Minutes, walking distance to the main station and the city: 15 minutes
- Hotel Mozart, walking
distance to the institute: 10 Minutes, walking distance to the main station and the city: 5 minutes
- Hotel Kurfürstenhof, walking
distance to the institute: 10 Minutes, walking distance to the main station and the city: 5 minutes
All of these are in a medium price range (50-75 Euros per night). There are also cheaper
options.
How to get to Bonn via airplane
Nearest airport: Cologne Bonn Airport
There is a bus (SB60) going directly from the airport to Bonn Hbf (train station) every 30 min.
Airports which are also close by (and easy to reach via train):
Flughafen Düsseldorf or
Frankfurt Airport
How to get to Bonn via train
Nearest train station: Bonn Hauptbahnhof (Hbf)
The page of the German railway company can be found here
(you can easily buy tickets online)
How to get to Bonn via train
Nearest train station: Bonn Hauptbahnhof (Hbf)
The page of the German railway company can be found here
(you can easily buy tickets online)
Information that you hopefully will not need
In case of an emergency:
click
English speaking doctors:
click
Organizers
Anne-Laure Thiel email
Daniel Tubbenhauer email
Pictures' credits:
left picture;
right picture