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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C10011 - Connections in Geometry and Physics 2010PODCAST Subscribe to podcast

Connections in Geometry and Physics 2010

Organizer(s): Robert Myers   Spiro Karigiannis   Ruxandra Moraru   Marco Gualtieri   McKenzie Wang  

Collection URL: http://pirsa.org/C10011

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Motivic degree zero Donaldson&amp;amp;ndash;Thomas invariants
Speaker(s): Jim Bryan
Abstract: The Hilbert scheme X[n] of n points on variety X parameterizes length n, zero dimensional subschemes of X. When X is a smooth surface, X[n] is also smooth and a beautiful formula for its motive was determined by Gottsche. When X is a threefold, X[n] is in general singular, of the wrong dimension, an... read more
Date: 08/05/2010 - 1:45 pm

The coherent-constructible correspondence and homological mirror symmetry for toric varieties
Speaker(s): Chiu-Chu Liu
Abstract: The Hilbert scheme X[n] of n points on variety X parameterizes length n, zero dimensional subschemes of X. When X is a smooth surface, X[n] is also smooth and a beautiful formula for its motive was determined by Gottsche. When X is a threefold, X[n] is in general singular, of the wrong dimension, an... read more
Date: 08/05/2010 - 3:15 pm

Noncommutative algebras and (commutative) algebraic geometry
Speaker(s): David Morrison
Abstract: The study of D-branes at singular points of Calabi-Yau threefolds has revealed interesting connections between certain noncommutative algebras and singular algebraic varieties. In many respects, the choice of an appropriate noncommutative algebra is analogous to finding a resolution of singularities... read more
Date: 08/05/2010 - 4:30 pm

Wall-crossing and hyperkahler geometry
Speaker(s): Andy Neitzke
Abstract: I will give an overview of recent work with Davide Gaiotto and Greg Moore. This work relates the phenomenon of ''wall-crossing'' for BPS states in four-dimensional N=2 theories to a new construction of hyperkahler metrics. These metrics include in particular the metrics on moduli spaces of solutions... read more
Date: 09/05/2010 - 8:30 am

What Do Grassmannians And Particle Colliders Have In Common?
Speaker(s): Freddy Cachazo
Abstract: In the past year, motivated by physics, a rich structure has emerged from studying certain contour integrals in Grassmannians. Physical considerations single out a natural meromorphic form in G(k,n) with a cyclic structure. The residues obtained from these contour integrals have been shown to be inv... read more
Date: 09/05/2010 - 10:00 am

Twistor-String Theory
Speaker(s): David Skinner
Abstract: I'll give an introduction to twistor-string theory, which is an attempt to reformulate supersymmetric gauge theory in four-dimensional space-time in terms of a certain generalisation of Gromov-Witten theory in twistor space. The resulting theory is closely related to the multi-dimensional residue ca... read more
Date: 09/05/2010 - 11:15 am

Chern-Simons-Rozansky-Witten topological field theory
Speaker(s): Natalia Saulina
Abstract: I will discuss a hybrid between Chern-Simons and Rozansky-Witten models. In particular, Wilson loops in this topological field theory are objects of a quantum deformation of the equivariant derived category of coherent sheaves.
Date: 09/05/2010 - 1:00 pm

Thermodynamic Bethe ansatz from instantons in super-Yang-Mills theory
Speaker(s): Nikita Nekrasov
Abstract: We show that the generating function of the equivariant (generalized) Donaldson invariants of ${bf R}^2 X {Sigma}$ is captured by the solution of a thermodynamic Bethe ansatz equation. Based on a joint work with S. Shatashvili.
Date: 09/05/2010 - 1:45 pm

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