SMS scnews item created by Alex Sherman at Fri 5 Apr 2024 1655
Type: Seminar
Distribution: World
Expiry: 5 Jul 2024
Calendar1: 12 Apr 2024 1200-1300
CalLoc1: Carslaw 273
CalTitle1: Algebra Seminar: Geometrification of monodromy for hypergeometric systems
Auth: (ashe8718) in SMS-SAML

Algebra Seminar: Will Donovan -- Geometrification of monodromy for hypergeometric systems

This week we will have Will Donovan (Tsinghua University) speaking in the algebra
seminar.  We will go out for lunch after the talk.  

When: Friday 12 April, 12-1pm 

Where: Carslaw 273 (Note the new location!) 

Title: Geometrification of monodromy for hypergeometric systems 

Abstract: The Gauss hypergeometric equation controls solutions of second-order linear
differential equations with three regular singular points.  These solutions encompass a
zoo of special functions, with rich and useful structure.  Moving the complex variable
around a singular point in the domain leads to a monodromy action on the solutions.  I
will explain a ’geometrification’ of this action, using the K-theory of Calabi-Yau
3-folds.  If time permits, I will introduce work in progress with Weilin Su extending
this to multi-parameter analogs of the Gauss equation, via a further ’categorification’
using the derived category of coherent sheaves.

ball Calendar (ICS file) download, for import into your favourite calendar application
ball UNCLUTTER for printing
ball AUTHENTICATE to mark the scnews item as read
School members may try to .