Mathematics Colloquium

Foundations of supergeometry and supermoduli

Speaker: Kowshik Bettadapura, University of Melbourne

Location: Online

Date: Monday, May 2, 2022, 3:45 p.m.


The supermoduli space of curves is a superspace. It universally parametrizes super Riemann surfaces and underpins much of superstring theory.
In this talk I will present my research, which has revolved around understanding supermoduli space from the supergeometry viewpoint.
I begin with a review of important problems arising in the foundations of algebraic supergeometry. 
These concern the classification of supermanifolds and its significance to theoretical physics.
I will describe the results I have obtained pertaining to this classification for varieties in projective superspace.
After a brief introduction then to supermoduli space, I will present a conjectural characterisation of a local property.
The talk concludes with an overview of future research directions in the areas of algebraic supergeometry and supermoduli theory.