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

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. See here


List of speakers giving a lecture series

  • Eugene Gorski (University of California Davis); Preliminary title: Hilbert schemes and knot homology
  • Yankı Lekili (King's College London); Preliminary title: Fukaya categories and their appearance in representation theory
  • Andrew Mathas (University of Sydney); Preliminary title: Cyclotomic KLR algebras
  • Volodymyr Mazorchuk (Uppsala University); Preliminary title: Introduction to $2$-representation theory
  • Catharina Stroppel (Universität Bonn); Preliminary title: TBA


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.)

Information material

A pdf-file containing information will be made available soon.

Program

The program will be made available soon.

Participants

A list of participants will be made available soon.

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

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