Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Representation homology of spaces and the strong Macdonald conjectures

Speaker : Dr. Ajay C. Ramadoss Associate Professor, Mathematics Indiana University Bloomington

18-01-2024

Abstract :

In 1982, I. G. Macdonald conjectured a series of combinatorial identities related to root systems. These beautiful conjectures were in the focus of research in representation theory for over 30 years. In the late 80's/early 90s, Feigin and Hanlon proposed a homological generalization of the Macdonald conjectures (known as the strong Macdonald conjectures) that were studied by a number of mathematicians and eventually proved in 2008. In this talk, I shall discuss a natural topological interpretation of the strong Macdonald conjectures and discuss a related conjecture that remains wide open. The talk is based on joint work with Yuri Berest and Wai-Kit Yeung.

Key Speaker Dr. Ajay C. Ramadoss Associate Professor, Mathematics Indiana University Bloomington
Place KCB 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None