Workshop on

Equivariant generalized Schubert calculus and its applications

Department of Mathematics and Statistics, University of Ottawa,
April 28 - May 1, 2016



The last decades have witnessed an intrusion of the methods of algebraic topology into the theory of algebraic groups, torsors and homogeneous spaces. These new methods have led to breakthroughs on a number of classical problems in algebra, which were beyond the reach by earlier purely algebraic techniques.

One striking example of this ongoing trend was the invention of equivariant K-theory by Thomason and then of an algebraic classifying space and equivariant Chow groups by Brion, Edidin-Graham, and Totaro. Merging these results with a notion of an algebraic oriented cohomology introduced by Levine-Morel and Panin-Smirnov have lead to the creation of a family of algebraic equivariant oriented cohomology theories (e.g., equivariant algebraic cobordism) which are actively studied nowadays in view of its rich connections to geometry

Another celebrated example is an application of the T-fixed point approach to study equivariant singular cohomology and K-theory of flag varieties by Kostant-Kumar. Various generalizations of this method to arbitrary equivariant oriented cohomology theories have been recently obtained by Calmes, Cooper, Ganter, Hoffnung, Malagon-Lopez, Ram, Savage, Zainoulline, Zhao, Zhong and others.

The last example we would like to stress is an invention of quantum cohomology in topology and its subsequent algebraic development by Kontsevich-Manin, Fulton, Pandharipande. Numerous applications of quantum cohomology and K-theory to combinatorics and enumerative geometry of homogeneous spaces have been obtained recently by Buch, Lenart, Perrin and others.

The workshop will be mostly focusing on


The workshop will run for three full days and a morning session during the fourth day (Thursday morning - Sunday noon) and will feature a unique combination of 2 introductory mini-courses, 7 one-hour talks given by leading experts and 5 short talks given by graduate students/postdocs. Each mini-course will have three lectures and directed towards graduate students and young researchers:

Abstracts of talks

Schedule of talks


List of participants.

Supported by