‘Affine Schubert Calculus’ refers to an extension of Schubert calculus to affine Grassmannians and affine flag varieties. The new approach to affine Schubert calculus is made possible by the recent discovery of certain explicitly defined symmetric functions called k-Schur functions. The k-Schur functions, which arose in the study of the seemingly unrelated Macdonald theory, were recently shown to be connected to the geometry and topology of the affine Grassmanian.

This event consists of a summer school and workshop to be held at Fields Institute over a nine day period. The period July 7-10 will be dedicated to the summer school, with July 11 as a free day and followed by another 4 days of workshop that will consist of contributed talks. The purpose of the summer school is to highlight some of the major developments of the Affine Schubert Calculus related to k-Schur functions with survey presentations and tutorials. The workshop portion of the event will highlight some recent related research.

http://www.fields.utoronto.ca/programs/scientific/10-11/schubert/index.html

I found out about this summer school from Steve Kudla’s door. The Hitchin fibration is an important topic of current research, related to the geometric Langlands program.

http://hitchin-fibration.sfb45.de/

8th annual Graduate Student Topology and Geometry Conference will take place April 10-11, 2010 at the University of Michigan, Ann Arbor.

The theme(s) of the student conference are quite broad, but the two plenary speakers are

-Alan Reid (UT Austin)
-Doug Ravenel (University of Rochester).

In addition, there will be 3 “problem/open-question sessions” with the junior speakers

- Moon Duchin (UMichigan),
- Benjamin Schmidt (Michigan State University)
- Tom Fiore (UMichigan, Dearborn),

on geometric group theory, differential geometry, and homotopy theory. Finally, and most importantly, there will be a large number of 30-minute graduate student talks, ranging in style from the expository to the mini-research talk.

More details may be found at

http://www.fields.utoronto.ca/programs/scientific/09-10/topconf/

for Canadians. The main conference page is

http://www-personal.umich.edu/~jmeyster/topologyconference/home.html