Thu, 13 Mar 2014

16:00 - 17:00
C6

Harmonic Maps and Heat Flows

Roland Grinis
Abstract

I plan to give a non technical introduction (i.e. no prerequisites required apart basic differential geometry) to some analytic aspects of the theory of harmonic maps between Riemannian manifolds, motivate it by briefly discussing some relations to other areas of geometry (like minimal submanifolds, string topology, symplectic geometry, stochastic geometry...), and finish by talking about the heat flow approach to the existence theory of harmonic maps with some open problems related to my research.

Thu, 06 Mar 2014

16:00 - 17:00
C6

Basic examples in deformation quantisation

Emanuele Ghedin
Abstract

Following last week's talk on Beilinson-Bernstein localisation theorem, we give basic notions in deformation quantisation explaining how this theorem can be interpreted as a quantised version of the Springer resolution. Having attended last week's talk will be useful but not necessary.

Thu, 27 Feb 2014

16:00 - 17:00
C6

Beilinson-Bernstein Localization Theorem

Georgia Christodoulou
Abstract

We will talk about the Beilinson-Bernstein localization theorem, which is a major result in geometric representation theory. We will try to explain the main ideas behind the theorem and this will lead us to some geometric constructions that are used in order to produce representations. Finally we will see how the theorem is demonstrated in the specific case of the Lie algebra sl2

Thu, 20 Feb 2014

16:00 - 17:00
C6

Doctor, I look at complex and symplectic structures and I see the same!

Roberto Rubio
Abstract

This talk will give an introduction to generalized complex geometry, where complex and symplectic structures are particular cases of the same structure, namely, a generalized complex structure. We will also talk about a sister theory, generalized complex geometry of type Bn, where generalized complex structures are defined for odd-dimensional manifolds as well as even-dimensional ones.

Thu, 13 Feb 2014

16:00 - 17:00
C6

Cancelled

Cancelled
Thu, 06 Feb 2014

16:00 - 17:00
C6

Derived equivalence between vector bundles and dg-quivers

Lam Yan
Abstract

Quivers are directed graphs which can be thought of as "space" in noncommutative geometry. In this talk, we will try to establish a link between noncommutative geometry and its commutative counterpart. We will show how one can construct (differential graded) quivers which are "equivalent" (in the sense of derived category of representations) to vector bundles on smooth varieties.

Thu, 30 Jan 2014

16:00 - 17:00
C6

Ricci Solitons and Symmetry

Alejandro Betancourt
Abstract

Ricci solitons were introduced by Richard Hamilton in the 80's and they are a generalization of the better know Einstein metrics. During this talk we will define the notion of Ricci soliton and I will try to convince you that these metrics arise "naturally" in a number of different settings. I will also present various examples and talk a bit about some symmetry properties that Ricci solitons have.

Note: This talk is meant to be introductory and no prior knowledge about Einstein metrics will be assumed (or necessary).

Thu, 23 Jan 2014

16:00 - 17:00
C6

On the zeta determinant

Elisabeth Grieger
(King's College London)
Abstract

We give a short exposition on the zeta determinant for a Laplace - type operator on a closed Manifold as first described by Ray and Singer in their attempt to find an analytic counterpart to R-torsion.

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