ZMP Colloquium: 4-dimensional gauge theories and their holomorphic twists

by Owen Gwilliam

Thursday 7 Dec 2023, 16:15 → 17:45 Europe/Berlin

Seminarraum 2 (DESY, building 2a)

Yang-Mills theories have had an enormous impact in mathematics, perhaps
most famously via the Donaldson and Seiberg-Witten invariants, which arise
via the topological twists of supersymmetric Yang-Mills theories. In this talk I
will describe derived moduli spaces that arise from holomorphic and
topological-holomorphic twists of these theories and then explore what it
means to quantize such spaces. Given time, we will examine how various
notions of duality might carry over to this setting, such as the S-duality that
Kapustin and Witten used to offer a physical view on the geometric Langlands
program or the Seiberg duality that plays a key role for N=1 theories. This
work is joint, in various combinations, with Chris Elliott, Eugene Rabinovich, and Brian Williams.