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SUMMARY:Isomonodromic Deformations and Tau Functions - Fabrizio Del Monte 
 (University of Sheffield)
DTSTART:20240925T150000Z
DTEND:20240925T160000Z
UID:TALK219709@talks.cam.ac.uk
DESCRIPTION:In recent years\, twistor theory has found novel applications 
 within Donaldson-Thomas theory\, particularly in the study of Joyce struct
 ures associated with CY3 categories. Among the most well-understood exampl
 es of Joyce structures are those linked to Painlev&eacute\; equations and\
 , more broadly\, to isomonodromic deformation equations. These equations a
 re central to the theory of nonlinear special functions\, and have been a 
 cornerstone of mathematical physics for the past century. Recent breakthro
 ughs have sparked renewed interest in the subject.\nIn this talk\, I will 
 introduce the fundamental concepts of isomonodromic deformations and the a
 ssociated tau functions. Emphasis will be placed on the emerging perspecti
 ve of isomonodromic tau functions as generating functions for the Riemann-
 Hilbert symplectomorphism\, highlighting recent advances and their implica
 tions for the field.
LOCATION:Seminar Room 2\, Newton Institute
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