School of Mathematical Sciences

Compactifications of reductive groups menu

Compactifications of reductive groups

Speaker: 
Michael Thaddeus (Columbia University and Imperial)
Date/Time: 
Mon, 18/03/2013 - 16:30
Room: 
M103
Seminar series: 

I will explain how compactifications of algebraic varieties are useful in solving enumerative problems. In order to count elements of an algebraic group G satisfying various enumerative conditions, one wants a compactification with an action of G x G extending the natural action on G. For a reductive group with trivial center, this leads to the notion of the "wonderful compactification" of De Concini and Procesi. I will define this and describe some examples. Then I will discuss an orbifold analogue for reductive groups with finite center such as SL(n), constructed in recent joint work with Johan Martens.

Speaker's webpage
http://www.math.columbia.edu/~thaddeus/