Speaker: Nathan Chapelier (Tours)
Title: Shi Variety Corresponding to an Affine Weyl Group
Abstract:
For each irreducible affine Weyl group \(W_a\) we will see that there exists a bijection between \(W_a\) and the integral points of an affine variety, denoted \(X_{W_a}\) and called the Shi variety of \(W_a\). Subsequently, we will give some combinatorial and geometric properties of this variety. We will lay stress on type \(A\) to illustrate these properties.