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|
|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
|Date:||11 / 13 / 2014|
|Time:||11:15am - 12:05pm|