PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title:The Entropy of Schur-Weyl measures
Seminar:Algebra and Number Theory Seminar
Speaker:Sevak Mkrtchyan, University of Rochester
Abstract:
We will study local and global statistical properties of Young diagrams with respect to a Plancherel-type family of measures called Schur-Weyl measures and use the results to answer a question from asymptotic representation theory. ore precisely, we will solve a variational problem to prove a limit-shape result for random Young diagrams with respect to the Schur-Weyl measures and apply the results to obtain logarithmic, order-sharp bounds for the dimensions of certain representations of finite symmetric groups.

Room Reservation Information

Room Number:MB106
Date:11 / 13 / 2014
Time:11:15am - 12:05pm