Syzygies in Algebraic Geometry, with an exploration of a connection with String Theory (12w5117)

Arriving in Banff, Alberta Sunday, August 12 and departing Friday August 17, 2012

Organizers

(University of Illinois at Chigago)

(Mathematical Sciences Research Institute)

(Humboldt Universität zu Berlin)

(Cornell University)

Description

The Banff International Research Station will host the "Syzygies in Algebraic Geometry, with an exploration of a connection with String Theory" workshop from August 12th to August 17th, 2012.




Algebraic Geometry and Commutative Algebra are fields of mathematics which deal with understanding the solutions of a system of polynomial equations, possibly in a large number of variables and with a large number of equations. The solutions form a geometric object. The main idea is to study the rich and beautiful interplay between its geometric and algebraic properties.



Constructing a free resolution amounts to repeatedly solving systems of polynomial equations. The study of free resolutions flourished in the second half of the twentieth century, and has seen spectacular progress in the last ten years. The field is very broad, with strong connections and applications to many areas. The workshop will bring together some of the world's top experts in Algebraic Geometry and Commutative Algebra in order to discuss exciting recent developments on free resolutions and explore in new directions. One of the objectives is to explore an amazing connection between the theory of free resolutions and String Theory.





The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).