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Schedule, Notes/Handouts & Videos

The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods May 06, 2013 - May 10, 2013

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May 06, 2013
Monday
09:00 AM - 09:30 AM
  Welcome
09:30 AM - 10:20 AM
  Resolutions of dlt pairs
János Kollár (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 11:50 AM
  Recent results on the grading of local cohomology modules
Gennady Lyubeznik (University of Minnesota Twin Cities)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  the core of an ideal
Claudia Polini (University of Notre Dame)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:20 PM
  ACC for the log canonical threshold and termination of flips
James McKernan (University of California, San Diego)
May 07, 2013
Tuesday
09:00 AM - 09:50 AM
  Multiplicities of graded families of linear series
Steven Cutkosky (University of Missouri)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:20 AM
  Ordinary varieties and the comparison between multiplier ideals and test ideals
Vasudevan Srinivas (Tata Institute of Fundamental Research)
11:30 AM - 12:20 PM
  F-singularities in families
Karl Schwede (University of Utah)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  On the local uniformization of Abhyankar valuations using toric maps
Bernard Teissier (Institut de Mathématiques de Jussieu)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:20 PM
  A local Lefschetz theorem
Bhargav Bhatt (Institute for Advanced Study)
04:30 PM - 06:20 PM
  Reception
May 08, 2013
Wednesday
09:00 AM - 09:50 AM
  The Nash problem on families of arcs
Tommaso de Fernex (University of Utah)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:20 AM
  F-Signature and Relative Hilbert-Kunz Multiplicity
Kevin Tucker (University of Illinois at Chicago)
11:30 AM - 12:20 PM
  Some computations of Hilbert-Kunz functions
Vijaylaxmi Trivedi (Tata Institute of Fundamental Research)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:25 PM
  F-pure thresholds of quasi-homogeneous polynomials
Emily Witt (University of Kansas)
02:00 PM - 02:25 PM
  Pluri-canonical maps in positive characteristic
Yuchen Zhang (University of Utah)
02:30 PM - 02:55 PM
  Degrees of relations, the Weak Lefschetz Property, and top socle degrees in positive characteristic
Adela Vraciu (University of South Carolina)
02:30 PM - 02:55 PM
  Generic linkage and regularity of algebraic varieties
Wenbo Niu (Purdue University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 03:55 PM
  Asymptotic test ideals and their possible applications to resolution problems
Angelica Benito (University of Michigan)
03:30 PM - 03:55 PM
  Multiplier ideals and test ideals of complete intersection binomial ideals.
Takafumi Shibuta (Kyushu University)
04:00 PM - 04:25 PM
  Dual F-signature
Akiyoshi Sannai (Nagoya University)
04:00 PM - 04:25 PM
  Frobenius splitting of orbit closures associated to type A quivers
Jenna Rajchgot (McMaster University)
May 09, 2013
Thursday
09:00 AM - 09:50 AM
  Globally F-regular and Frobenius split surfaces.
Shunsuke Takagi (University of Tokyo)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:20 AM
  The index of a threefold canonical singularity
Masayuki Kawakita (Kyoto University)
11:30 AM - 12:20 PM
  Uniform Izumi's theorem
Charles Favre (École Polytechnique)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  Singularities with respect to Mather-Jacobian discrepancies
Shihoko Ishii (Tsinghua University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:20 PM
  The monodromy conjecture for motivic and related zeta functions
Willem Veys (Katholieke Universiteit Leuven)
May 10, 2013
Friday
09:30 AM - 10:20 AM
  Mather multiplier ideals
Lawrence Ein (University of Illinois at Chicago)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 11:50 AM
  Something is irrational in Hilbert-Kunz theory
Holger Brenner (Universität Osnabrück)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 02:50 PM
  The Singularities of the Moduli Spaces of Vector Bundles over Curves in characteristic p
Vikram Mehta (University of Bombay)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:20 PM
  Stabilization of the Frobenius push-forward and the F-blowup sequence
Nobuo Hara (Tohoku University)
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