PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:On Strongly F-Regular Inversion of Adjunction
Seminar:Algebra and Number Theory Seminar
Speaker:Omprokash Das, University of Utah
Abstract:
In characteristic 0, it is well known that if (X, S+B) is pair, where [S+B]=S is irreducible then (S^n, B_{S^n}) is KLT implies that (X, S+B) is PLT near S and S is normal, where S^n --> S is the normalization and (K_X+S+B)|_{S^n}=K_{S^n}+B_{S^n} is defined by adjunction. The proof basically follows form the Resolution of Singularities and Kawamata-Viehweg vanishing theorem. Now in characteristic p>0, resolution of singularities is not know in higher dimension (dim X>3) and Kawamata-Viehweg vanishing theorem is known to fail, so we can not expect a similar proof here. In my talk I will present a proof of a characteristic p>0 analog of the above statement. I will show that if (S^n, B_{S^n}) is Strongly F-Regular then S is normal and (X, S+B) is Purely F-Regular near S.

Room Reservation Information

Room Number:MB106
Date:10 / 17 / 2013
Time:11:15am - 12:05pm