Lecture Series on Transgression and Flows, March 110, 2016
Lectures Series by Prof. Daniel Cibotaru (Fortaleza, Brazil)
What 


When 
Mar 01, 2016 10:15 AM
to Mar 10, 2016 12:00 PM 
Where  SR125 
Contact Name  Anja Wittmann 
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Dienstag, 1.3., 10am
Title: Transgressions and flows. An overview.
Abstract: Using certain types of MorseSmale flows on compact manifolds one can produce concrete instances of Poincare Duality, best understood in the context of currents. We will give a panoramic view of how that works, including some classical examples such as the ChernGaussBonnet Theorem.
Donnerstag, 3.3., 10am
Title: Construction of the BottSamelson resolution with corners
Abstract: One fundamental ingredient for producing transgression formulas in the sense of currents using flows is a finite volume theorem for unstable manifolds of MorseSmale flows. We will look at the details of the construction of a manifold with corners resolution from which this kind of theorem follows immediately.
Dienstag, 8.3., 10am
Title: Examples of transgression formulas
Abstract: The plan is to present with a fair amount of details two relatively new applications of the theory: an odd version of ChernGaussBonnet and Quillen's Chern character currents associated to superconnections.
Mittwoch, 9.3., 10am
Title: Smooth cohomology and sparks
Abstract: We will give an overview of HarveyLawsonZweck theory of sparks that produces groups which are naturally isomorphic with the classical differential characters groups (smooth cohomology) of Cheeger and Simons. We will analyze an example of such a spark bearing the name of Maslov.
Donnerstag, 10.3., 10am
Title: Transgressions on manifolds with boundary
Abstract: We will talk about Lefschetz Duality in the context of currents and explain how the celebrated ChernGaussBonnet for manifolds with boundary fits in this ambient. Moreover we describe how Thom isomorphism can be contemplated in this picture.