Mathematical Sciences Research Institute - Derived Categories in Algebraic Geometry

Over the last several years derived categories have emerged in a remarkable interaction between algebraic geometry and physics. Perhaps the origin of this interaction was a conjecture of Kontsevich for a new picture of mirror symmetry.

Kontsevich's proposed understanding of mirror symmetry, now known as "homological mirror symmetry," recasts mirror symmetry is as an equivalence of categories between the derived category of coherent sheaves on one Calabi-Yau and a derived Fukaya category on the mirror Calabi-Yau.

The first week of this two-week course will focus on the basics of derived categories of coherent sheaves, including the McKay correspondence and derived categories of toric varieties.

The second week will be devoted to more advanced topics, including stability conditions, applications to Landau-Ginzburg models and mirror symmetry. The course will be followed by a Summer Research Conference at Snowbird (see
http://www.math.utah.edu/src2007).

Prospective participants must apply online at the website http://www.math.utah.edu/dc/app.htm. MSRI will provide funding for several students from MSRI Academic Sponsoring Institutions who are selected through the application process as participants.

Back to Summer Graduate Workshop Listing

Please have your Department Chair send a list of at most three nominees to Jonathan Rubinsy at sgwnominations_AT_msri.org and include the following information for each nominated student:

DEPARTMENT CHAIR NAME and Institute
WORKSHOP NAME
STUDENT’S NAME
STUDENT’S CONTACT INFORMATION (Email, Telephone)
GENDER AND ETHNICITY

Students admitted to the workshops will be informed directly by MSRI; the IAS/PCMI workshop will issue its own announcement.

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