# Program

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.

**Keywords and Mathematics Subject Classification (MSC)**

**Primary Mathematics Subject Classification**

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

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 |