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Mathematical Sciences Research Institute

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Program

Commutative Algebra August 20, 2012 to May 24, 2013
Organizers David Eisenbud* (University of California, Berkeley), Srikanth Iyengar (University of Nebraska), Ezra Miller (Duke University), Anurag Singh (University of Utah), and Karen Smith (University of Michigan)
Description

Commutative algebra was born in the 19th century from algebraic geometry, invariant theory, and number theory. Today it is a mature field with activity on many fronts.

The year-long program will highlight exciting recent developments in core areas such as free resolutions, homological and representation theoretic aspects, Rees algebras and integral closure, tight closure and singularities, and birational geometry. In addition, it will feature the important links to other areas such as algebraic topology, combinatorics, mathematical physics, noncommutative geometry, representation theory, singularity theory, and statistics. The program will reflect the wealth of interconnections suggested by these fields, and will introduce young researchers to these diverse areas.

New connections will be fostered through collaboration with the concurrent MSRI programs in Cluster Algebras (Fall 2012) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013).

For more detailed information about the program please see, http://www.math.utah.edu/ca/.

To apply please visit http://www.msri.org/web/msri/scientific/member-application (Deadlines: October 1, 2011 and December 1, 2011).

Bibliography (PDF)


Special Opportunity:
RTG Mini-Course and Workshop on "Tensors and their Geometry in High Dimensions"
From September 26-29, 2012, the Berkeley RTG on Representation Theory, Geometry, and Combinatorics will host a workshop on "Tensors and their Geometry in High Dimensions," featuring Andrew Snowden, Jan Draisma, and Giorgio Ottaviani giving mini-courses. There will also be opportunities for some of the other participants to give related talks. All the details are available here:
http://math.berkeley.edu/~oeding/RTG/index.html. There are no registration fees, however participants are kindly asked to register online. There may be some funding for young researchers.

 


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Programmatic Workshops
August 22, 2012 - August 24, 2012 Connections For Women: Joint Workshop on Commutative Algebra and Cluster Algebras
August 27, 2012 - September 07, 2012 Joint Introductory Workshop: Cluster Algebras and Commutative Algebra
December 03, 2012 - December 07, 2012 Combinatorial Commutative Algebra and Applications
February 11, 2013 - February 17, 2013 Representation Theory, Homological Algebra, and Free Resolutions
May 06, 2013 - May 10, 2013 The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods