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Suraj Yadav: A^1-connectivity of the moduli stack of vector bundles on a curve

Time: Thu 2022-03-31 09.00 - 10.00

Location: Zoom, meeting ID: 698 8663 6380

Lecturer: Suraj Yadav (IISER Pune / USC)

Abstract

Based on joint work with Amit Hogadi, I will talk about \(\mathbb{A}^1\)-connectivity, \(\pi_0^{\mathbb{A}^1}\) , of the moduli stack of vector bundles on a curve and its application to the classification of projective bundles on a curve in motivic homotopy category.

Time permitting, I will also give an overview of the motivic homotopy groups \(\pi_i^{\mathbb{A}^1}\) and their properties over a general base, such as stable connectivity theorems over a general base.

Belongs to: Stockholm Mathematics Centre
Last changed: Mar 27, 2022