Geometry and Analysis Seminar (past)
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Mon, 17/10/2011 14:15 |
Tamas Hausel |
Geometry and Analysis Seminar  |
L3 |
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In this talk we show how the computation of the group of components of Prym varieties of spectral covers leads to cohomological results on the moduli space of stable bundles originally due to Harder-Narasimhan. This is joint work with Christian Pauly. |
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Mon, 10/10/2011 14:15 |
Jacob Rasmussen (Cambridge) |
Geometry and Analysis Seminar |
L3 |
| Khovanov homology is an invariant of knots in S^3 which categorifies the Jones polynomial. Let C be a singular plane curve. I'll describe some conjectures relating the geometry of the Hilbert scheme of points on C to a variant of Khovanov homology which categorifies the HOMFLY-PT polynomial. These conjectures suggest a relation between HOMFLY-PT homology of torus knots and the representation theory of the rational Cherednik algebra. As a consequence, we get some easily testable predictions about the Khovanov homology of torus knots. | |||
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Mon, 20/06/2011 14:15 |
Domingo Toledo (Utah) |
Geometry and Analysis Seminar |
L3 |
| The moduli space of cubic surfaces is known to be isomorphic to a quotient of the unit ball in C^4 by an arithmetic group. We review this construction, then explain how to construct an explicit inverse to the period map by using suitable theta functions. This gives a new proof of the isomorphism between the two spaces. | |||
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Mon, 13/06/2011 14:15 |
Michael Thaddeus (Columbia) |
Geometry and Analysis Seminar |
L3 |
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Mon, 06/06/2011 14:15 |
M S Narasimhan (TIFR Bangalore) |
Geometry and Analysis Seminar |
L3 |
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Mon, 30/05/2011 14:15 |
Tamas Hausel (Oxford) |
Geometry and Analysis Seminar |
L3 |
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Mon, 23/05/2011 14:15 |
Olivier Biquard (Ecole Normale) |
Geometry and Analysis Seminar |
L3 |
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Mon, 16/05/2011 14:15 |
Rafe Mazzeo (Stanford) |
Geometry and Analysis Seminar |
L3 |
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Mon, 09/05/2011 14:15 |
Nigel Hitchin (Oxford) |
Geometry and Analysis Seminar |
L3 |
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Mon, 07/03/2011 14:15 |
Klaus Hulek (Hanover) |
Geometry and Analysis Seminar |
L3 |
| We shall discuss the moduli problem for irreducible holomorphic symplectic manifolds. If these manifolds are equipped with a polarization (an ample line bundle), then they are parametrized by (coarse) moduli spaces. We shall relate these moduli spaces to arithmetic quotients of type IV domains and discuss when they are rational or not. This is joint work with V.Gritsenko and G.K.Sankaran. | |||
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Mon, 28/02/2011 14:15 |
Geometry and Analysis Seminar |
L3 | |
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Mon, 21/02/2011 14:15 |
Nitin Nitsure (Tata Institute) |
Geometry and Analysis Seminar |
L3 |
| The Harder Narasimhan type (in the sense of Gieseker semistability) of a pure-dimensional coherent sheaf on a projective scheme is known to vary semi-continuously in a flat family, which gives the well-known Harder Narasimhan stratification of the parameter scheme of the family, by locally closed subsets. We show that each stratum can be endowed with a natural structure of a locally closed subscheme of the parameter scheme, which enjoys an appropriate universal property. As an application, we deduce that pure-dimensional coherent sheaves of any given Harder Narasimhan type form an Artin algebraic stack. As another application - jointly with L. Brambila-Paz and O. Mata - we describe moduli schemes for certain rank 2 unstable vector bundles on a smooth projective curve, fixing some numerical data. | |||
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Mon, 14/02/2011 14:15 |
William Crawley-Boevey (Leeds) |
Geometry and Analysis Seminar |
L3 |
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Mon, 07/02/2011 14:15 |
Jochen Heinloth (Amsterdam) |
Geometry and Analysis Seminar |
L3 |
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Mon, 31/01/2011 14:15 |
Oscar Garcia-Prada (CSIC Madrid) |
Geometry and Analysis Seminar |
L3 |
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Mon, 24/01/2011 14:15 |
Lothar Goettsche (ICTP) |
Geometry and Analysis Seminar |
L3 |
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Mon, 17/01/2011 14:15 |
Roger Bielawski (Leeds) |
Geometry and Analysis Seminar |
L3 |
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Mon, 29/11/2010 14:15 |
Daniel Huybrechts (Bonn) |
Geometry and Analysis Seminar |
L3 |
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Mon, 22/11/2010 14:15 |
Zhiwei Yun (Princeton) |
Geometry and Analysis Seminar |
L3 |
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Mon, 08/11/2010 14:15 |
Rafael Torres (Oxford) |
Geometry and Analysis Seminar |
L3 |
