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Classical Algebraic Geometry |
| January 26, 2009 to January 30, 2009 |
| Organized By: Lucia Caporaso (U. Rome III), Brendan Hassett (Rice U.), James McKernan (MIT), Mircea Mustata (U. Michigan), Mihnea Popa (U. Illinois - Chicago) |
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| Participant List: |
| View a List of Registered Participants |
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Algebraic Geometry is one of the most diverse areas of mathematics. Due to the breadth of the subject it is often a challenge for graduate students and people from other fields to get a global view of current developments in the field. Algebraic Geometry has grown dramatically over the past century, with new subfields constantly branching off. The core of the field is now universally called Classical Algebraic Geometry, an exciting area itself full of fundamental unsolved problems and at the same time providing a theoretical foundation for the areas that have developed in recent years.
The main theme of the workshop will be to explore modern approaches to problems originating in Classical Algebraic Geometry, and at the same time offer an introduction to various subfields to the younger participants in the semester-long program. Topics will include:
(1) Birational geometry: minimal model program, singularities of pairs, linear series, classification of surfaces of general type.
(2) Moduli spaces of curves: intersection theory, cones of ample and effective divisors, limit linear series.
(3) Moduli spaces of vector bundles: intersection theory on Quot schemes, Strange Duality, generalized theta divisors.
(4) Abelian varieties: Schottky problem, analytic methods, Fourier-Mukai transform.
(5) Rational curves on algebraic varieties: rational connectedness, behavior in families, rationality. |
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Registration:
Please register on-line
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For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Classical Algebraic Geometry
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA
The Institute is committed to the principles of Equal Opportunity and Affirmative Action.
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