Mathematics Colloquium | Yashonidhi Pandey | Mar 14th, 2023
Abstract:
We report on a joint-work with Vikraman Balaji. It addresses the following question:
Let $G$ be an almost simple, split, simply-connected Chevalley group scheme over $\\mathbb{Z}$.
Let $\\mathbb{A}^\\circ$ denote the complement of the "axes" in $\\mathbb{A}^n_{_k}$.
Let $U$ be the union of $\\mathbb{A}^\\circ$ with $Spec$ of DVRs which are the local rings at the generic points of the axes in $\\mathbb{A}^n_{_k}$.
Given BT group schemes adapted to the axes divisors of $\\mathbb{A}^n_{_k}$,
we glue them with $G \\times \\mathbb{A}^\\circ$ to get a group scheme on $U$.
Does it extend to the whole space $\\mathbb{A}^n_{_k}$ as a flat group scheme?
About the Speaker:
Dr. Yashonidhi Pandey is a mathematician working at IISER Mohali. He specializes in algebraic geometry. He studied at the Chennai Mathematical Institute, Ecole Normale Superieure at Rue d'Ulm and Universite Montpelier -2. Last year he spent his sabbatical at TIFR Mumbai. His hobbies are physical sports and reading fiction.