# Mathematical Sciences Research Institute

Home » The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods

# Workshop

The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods May 06, 2013 - May 10, 2013
 Registration Deadline: May 24, 2013 7 months ago February 06, 2013 10 months ago
Parent Program: Commutative Algebra
Organizers Craig Huneke (University of Virginia), Yujiro Kawamata (University of Tokyo), Mircea Mustata (University of Michigan), Karen Smith (University of Michigan), Kei-ichi Watanabe (Nihon University)
Speaker(s)

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Description

The workshop will examine the interplay between measures of singularities coming both from characteristic p methods of commutative algebra, and invariants of singularities coming from birational algebraic geometry. There is a long history of this interaction which arises via the "reduction to characteristic p" procedure. It is only in the last few years, however, that very concrete objects from both areas, namely generalized test ideals from commutative algebra and multiplier ideals from birational geometry, have been shown to be intimately connected. This workshop will explore this connection, as well as other topics used to study singularities such as jets schemes and valuations.

Bibliography (pdf)

Accommodation:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.

A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate.  If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123.  Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability. Funding & Logistics ## Show Funding To apply for funding, you must register by the funding application deadline displayed above. Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available. ## Show Lodging MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available. MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is$129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 -$189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 -$140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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 (Massachusetts Institute of Technology)
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 (Pennsylvania State University) 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 mathématique de Jussieu-PRG) 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 (Princeton University) 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 Minnesota Twin Cities) 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 Multiplier ideals and test ideals of complete intersection binomial ideals. Takafumi Shibuta (Kyushu University) 03:30 PM - 03:55 PM Asymptotic test ideals and their possible applications to resolution problems Angelica Benito (University of Michigan) 04:00 PM - 04:25 PM Frobenius splitting of orbit closures associated to type A quivers Jenna Rajchgot (MSRI - Mathematical Sciences Research Institute) 04:00 PM - 04:25 PM Dual F-signature Akiyoshi Sannai (Nagoya University)
May 09, 2013
Thursday
 09:00 AM - 09:50 AM Globally F-regular and Frobenius split surfaces. Shunsuke Takagi (Graduate School of Mathematical Sciences) 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 (University of Tokyo) 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 (IIT, 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)