Lusternik-Schnirelmann category was introduced in the context of the calculus of variations as a low

This is an introductory lecture to the index of differential operators. We´ll discuss the analytic

In the gauge theoretic approach, the geometric Langlands correspondence is understood as a mirror sy

A theorem of Gromov states that any contact manifold of dimension 2n+1 inherits the contact structur

Hovey, Palmieri and Strickland have defined the concept of stable homotopy category in [HPS]. It con

Unprojection theory, initiated by Miles Reid, aims to construct and analyze complicated commutative

A survey of our current understanding of smooth 4-manifolds.

We will introduce the notion of $G$-Higgs bundle and focus in a particular case which gives us much

Joint work with: Sami Dakhlia (Department of Economics and Finance, College of Business, University