BUNDLES and
CONFORMAL BLOCKS
with a TWIST

13 - 17 June 2022
ICMS Edinburgh

In the past decades, the theory of moduli spaces of bundles over algebraic curves has played a central role in various branches of mathematics, with deep ties to very active areas such as topological field theories, the Langlands program, and representation theory of affine Lie algebras.

 

A crucial ingredient that unifies several refinements of the theory came into focus recently: torsors for parahoric Bruhat-Tits group schemes. This gives a uniform approach to level structures, parabolic bundles, prym varieties, and the structures underlying twisted confomal blocks from conformal field theory. 

 

The last few years have seen the start of a systematic study of these matters, involving different communities of researchers and areas of interest. This conference is the first activity of its kind focused on this development.

 

Speakers

Introductory Mini-Course on Parahoric Torsors:

Jochen Heinloth    Universität Duisburg-Essen

 

Research Talks:

Jørgen Andersen    Syddansk Universitet

Thomas Baier    IST, Lisboa

Vikram Balaji    Chennai Mathematical Institute

Prakash Belkale    University of North Carolina at Chapel Hill

Philip Boalch    Université Paris-Sud

Arzu Boysal    Bogazici University
Emily Cliff    University of Sidney

Tanmay Deshpande    Tata Institute for Fundamental Research

Angela Gibney    University of Pennsylvania

Jiuzu Hong    University of North Carolina at Chapel Hill

Marina Logares    Universidad Computense

Christian Pauly    Université Nice Sophia Antipolis

Ana Peón-Nieto    University of Birmingham
Michael Rapoport    Universität Bonn

Matt Szczesny    Boston University

Constantin Teleman    University of California, Berkeley

Olga Trapeznikova    Université de Genève

Katrin Wendland    Trinity College, Dublin

Richard Wentworth    University of Maryland

 

Organizers

Chiara Damiolini    University of Pennsylvania

Johan Martens    Edinburgh University

Swarnava Mukhopadhyay    Tata Institute for Fundamental Research

Scientific Committee

Iain Gordon    Edinburgh University

Jochen Heinloth    Universität Duisburg-Essen

Frances Kirwan    University of Oxford

Shrawan Kumar    University of North Carolina at Chapel Hill

 

Schedule

June 13
09:00 - 10:00
Registration
10:00 - 10:10
Opening remarks
10:10 - 11:00
Jochen Heinloth

Minicourse: Introduction to parahoric torsors

11:00 - 11:30
Coffee/Tea
11:30 - 12:20
Jochen Heinloth

Minicourse: Introduction to parahoric torsors

12:20 - 14:00
Lunch
14:00 - 14:50
Prakash Belkale

Rigid local systems and the multiplicative eigenvalue problem

15:00 - 15:50
Michael Rapoport

Purity for $\mathcal G$-bundles

15:50 - 16:10
Coffee/Tea
16:10 - 17:00
Thomas Baier

On Hitchin's connection

17:00 - 18:00
Reception

at ICMS provided by Blue Sky Catering

June 14
09:30 - 10:20
Jochen Heinloth

Minicourse: Introduction to parahoric torsors

10:20 - 10:50
Coffee/Tea
10:50 - 11:40
Jochen Heinloth

Minicourse: Introduction to parahoric torsors

11:50 - 12:40
Richard Wentworth

The Hitchin connection for parabolic G-bundles

12:40 - 14:00
Lunch
14:00 - 14:50
Vikraman Balaji

Degeneration of G-torsors and Bruhat-Tits group schemes

14:50 - 15:20
Coffee/Tea
15:20 - 16:10
Constantin Teleman

Higher Verlinde formula and Mirror symmetry

16:30 - 17:30
Whisky tasting

at ICMS – Provided by Whiski Rooms

June 16
09:30 - 10:20
Marina Logares

Assorted Hitchin integrable systems

10:20 - 10:50
Coffee/Tea
10:50 - 11:40
Tanmay Deshpande

Crossed modular categories and the Verlinde formula for twisted conformal blocks

11:50 - 12:40
Angela Gibney

Vector bundles of VOA conformal blocks on the moduli space of stable pointed curves of genus g

12:40 - 14:00
Lunch
14:00 - 14:50
Jiuzu Hong

Twisted conformal blocks and their dimension

14:50 - 15:20
Coffee/Tea
15:20 - 16:10
Katrin Wendland

SU(2) channels the cancellation of K3 BPS states

18:00 - 20:00
Conference dinner

at Blonde, 71-75 St. Leonard's St. Edinburgh

June 17
09:30 - 10:20
Arzu Boysal

Volumes of moduli spaces of flat bundles over surfaces and the Verlinde formula

10:20 - 10:50
Coffee/Tea
10:50 - 11:40
Maciej Szczesny

Conformal blocks for complex surfaces and beyond

11:50 - 12:40
Christian Pauly

The Prym-Hitchin connection

 

Information about ICMS

The conference will take place at The Bayes Centre, in Edinburgh.

There is also an official ICMS Conference Page.

For more information about ICMS, you can visit this page.

 

With the support of

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