Type: Seminar

Distribution: World

Expiry: 30 Sep 2024

CalTitle1: A multi-valued perspective on Hilbert’s 21st problem

Calendar2: 13 Sep 2024 0900-1100

CalLoc2: SMRI Seminar Room at Macleay Building (A12) Room 301)

CalTitle2: A multi-valued perspective on Hilbert’s 21st problem

Auth: cmeister@167-179-157-30.a7b39d.syd.nbn.aussiebb.net (cmei0631) in SMS-SAML

Title: A multi-valued perspective on Hilbert’s 21st problem. Abstract: Hilbert, in his famous address to the ICM at the turn of the twentieth century, posed a problem on Fuchsian ODEs and monodromy now known as Hilbertâ€™s 21st problem. The history of this problem, especially in the original one variable case, is complicated. Rather than going down this rabbit hole, I will describe some of the beautiful mathematics that inspired and has spun out of this problem. Topics that we will touch on include character varieties, circular polygons, Del Pezzo surfaces, isomonodromic deformations, PainlevÃ© equations, singular integral equations and special functions. The first seminar will be focused on the regular singular setting. In the second, we may turn to the irregular singular or q-difference setting. â€” Pieter Roffelsen