Global Higgsy Seminar

The Global Higgsy Seminar is an informal geometry seminar with a loose focus on Higgs bundles, held online roughly every second Thursday during the semester. The Zoom link can be obtained by reaching out to one of the organizers, who are Raphael Belliard, Eric Boulter, and Evan Sundbo.

Upcoming Talks:

• March 19th at 11:00AM CST - Yuki Matsubara
  Title: On a certain tamely ramified geometric Langlands correspondence
  Abstract: The geometric Langlands correspondence (GLC) is a geometric analogue of the Langlands conjecture in number theory, relating algebraic geometry, representation theory, and many other areas. Since A. Kapustin and E. Witten pointed out the relation between GLC and mirror symmetry, there have been various studies of GLC from both physics and mathematics. Dima Arinkin’s 2001 result established the geometric Langlands correspondence for the case G = SL2 on the complex projective line P1 with four fixed regular singularities. When one attempts to extend this to five or more singularities, it turns out to be more natural to decompose the correspondence into a Radon transform-type correspondence and a “GLC-like” correspondence. In this talk, I will explain the calculations of cohomology that support the proof of this GLC-like correspondence in the P1 with five fixed regular singularities case. This talk is based on my paper Cohomology of vector bundles on the moduli space of parabolic connections on P1 minus 5 points (https://arxiv.org/abs/2510.12578).


• April 16th at TBA - Shomrik Bhattacharya
  Title: TBA
  Abstract: TBA