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: alexs@desktop-h8gjltm.staff.wireless.sydney.edu.au (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.