Vinberg pairs and Higgs bundles
ALGEBRAIC GEOMETRY AND NUMBER THEORY SEMINAR
Date
Thursday, January 26, 2023 14:00 - 16:00
Speaker
Oscar Garcia-Prada (ICMAT, Madrid)
Location
Heinzel Seminar Room (I21.EG.101), Office Building West
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
Birgit Oosthuizen-Noczil
A finite order automorphism of a complex semisimple Lie group determines a cyclic grading of its Lie algebra. Vinberg's theory is concerned with the geometric invariant theory associated to this grading. Important examples include the case of involutions and representations of cyclic quivers. After reviewing some basic facts about Vinberg's theory, in this talk I will discuss about its relation to the geometry of moduli spaces of Higgs bundles over a compact Riemann surface.