Monday, February 12, 2018
Building 15, Room 104
Algebra and Geometry Seminar
Hypertoric varieties and perverse sheaves
Carl Mautner, Department of Mathematics, UC, Riverside
The nilpotent cone has very special geometry which encodes interesting representation theoretic information. It is expected that many of its special properties have analogues for general "symplectic singularities." This talk will discuss one such analogy for a class of symplectic singularities called hypertoric varieties. The main result, joint with T. Braden, can be described as a duality between nearby and vanishing cycle sheaves on Gale dual hypertoric varieties.