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The National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences (MPS) invites media and members of the public to a series of lectures intended to promote discussion of issue...
The National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences invites media and members of the public to a series of lectures that will help promote a national discussion ...
An important problem in smooth ergodic theory is to understand an appearance of chaotic behavior in systems governed by deterministic laws. Now it is understood that chaotic behavior is caused by th...
This account, part historical and part original, is based on a series of lectures of Graham Higman on januarials, namely coset graphs for actions of triangle groups which become 2-face maps when embed...
An analog of the spectral analysis of time series is developed for data in general spaces. This is applied to data from an election in which 5738 people rank ordered five candidates. Group theoret...
These three lectures present some fundamental and classical aspects of microlocal analysis. Starting with the Sato's microlocalization functor and the microsupport of sheaves, we then construct a micr...
Lectures on the construction on the moduli space of principal bundles, given in the Mini-School on Moduli Spaces at the Banach center (Warsaw) 26-30 April 2005.
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incom...
This is a write-up of the lectures given by the author during the Master Class "Categorification" at {\AA}rhus University, Denmark in October 2010.
In this series of lectures we introduce the Monge-Kantorovich problem of optimally transporting one distribution of mass onto another, where optimality is measured against a cost function c(x,y). Con...
These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved proble...
Lectures on Seiberg-Witten Invariants

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