Skip to main content

# 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

Participating: 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