# On the volume of isolated singularities

Tuesday, February 4, 2014 -

4:30pm to 5:30pm

Boucksom, de Fernex and Favre defined a non-log-canonical volume to study isolated singularities and developed several geometric results. Their definition is based on the intersection number of nef envelope of the log discrepancy b-divisor. In this talk, I will give an alternate definition of this volume by log canonical modification. I will study the lower bound of the volume in Gorenstein case using the new definition. Finally, I will give a threefold X with volume 0 but has no boundary \Delta such that the pair (X,\Delta) is log canonical.

Speaker:

Yuchen Zhang

University of Utah

Event Location:

Fine Hall 322