Parabolic Multiplicative Affine Springer Fibers
Speaker:
Marielle Ong, University of Toronto
Date and Time:
Tuesday, September 24, 2024 - 2:00pm to 4:00pm
Location:
The Fields Institute, Room 210
Abstract:
Multiplicative affine Springer fibers are group-theoretic analogues of Lie-algebra-valued affine Springer fibers. They parametrize certain Higgs bundles that are valued in the Vinberg monoid. Since 2011, there has been an ongoing investigation into these fibers and their applications to orbital integrals, the Hitchin fibration and the Fundamental Lemma. In my talk, I will introduce parabolic multiplicative affine Springer fibers and discuss their properties, as well as their applications to global Springer theory.