Speaker: Professor Paul Zinn-Justin
Affiliation: University of Melbourne

Abstract

We report on recent progress in the field of Schubert calculus and its recently uncovered relation to quantum integrable systems. It is by now clear that the latter are quite useful in providing many explicit combinatorial formulae (``puzzle rules'') for intersection numbers for partial flag varieties; we shall describe these, and various extensions to e.g. equivariant K-theory, all of which generalize the classical Littlewood--Richardson rule. We shall also discuss the connection with the work of Okounkov et al on quantum integrability and Nakajima quiver varieties, providing a compelling geometric interpretation of all these combinatorial rules. This is joint work with A. Knutson.

About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Travis Scrimshaw.

Venue

Priestley Building (67)
Room: 
442 (or via zoom https://uqz.zoom.us/j/82736334677)