Speaker
Dr
Gayana Jayasinghe
(University of Illinois Urbana Champaign)
Description
In his groundbreaking paper, "Supersymmetry and Morse theory", Witten categorified the classical Morse polynomials by constructing instanton complexes, and extended them to Dolbeault complexes on spaces with Kahler Hamiltonian actions in a follow up article, generalizing Lefschetz-Riemann-Roch formulas. We recently extended these results to stratified pseudomanifolds with wedge (asymptotically iterated conic) metrics, in particular deriving Morse inequalities for various Dirac operators in L2-cohomology. I will explain these results and some applications in mathematics and physics. This is based on work in arXiv:2404.13481, arXiv:2309.15845.
Primary author
Dr
Gayana Jayasinghe
(University of Illinois Urbana Champaign)
