On orientations for gauge-theoretic moduli spaces

Date
2019/07/16 Tue 15:00 - 16:30
Room
Room 609, Building No.6
Speaker
Yuuji Tanaka
Affiliation
University of Oxford
Abstract

This is based on joint work with Dominic Joyce and Markus Upmeier. We discuss issues on orientability of the moduli spaces that appear in gauge-theoretic moduli problems; and how to orient those moduli spaces if they are orientable. We begin with backgrounds, motivation and recalling the orientation problem for the anti-self-dual instanton moduli spaces. We then move on to discussisng the problems for other gauge-theoretic moduli spaces with more general framework and techniques; and describe new results on the orientation problems.