Stability for symmetric groups, and beyond

Series
Colloquia
Time
Friday, March 31, 2023 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 249
Speaker
Weiqiang Wang – University of Virginia – ww9c@virginia.eduhttps://uva.theopenscholar.com/weiqiang-wang
Organizer
Gong Chen, Benjamin Jaye, Tom Kelly

Please Note: Special date and special room

We shall explain a simple remarkable stability phenomenon regarding the centers of the group algebras of the symmetric groups in n letters, as n goes to infinity. The same type of stability phenomenon extends to a wide class of finite groups including wreath products and finite general linear groups. Such stability has connections and applications to the cohomology rings of Hilbert schemes of n points on algebraic surfaces.