Differential forms in the h-topology
Friday, 6.12.13, 10:15-11:15, Raum 404, Eckerstr. 1
The h-topology on the category of separated schemes of\nfinite type over a field of characteristic zero was\nintroduced by Voevodsky to study the homology of schemes. I\nwill discuss in my talk the sheaves of h-differential\nforms, i.e., the appropriate notion of differential forms\nin the h-topology. Subsequently I will study their\nbehaviour on rationally chain connected spaces and the\nconnection to algebraic de Rham cohomology. This is joint\nwork with Annette Huber-Klawitter.\n
Graph algebras
Friday, 13.12.13, 10:15-11:15, Raum 404, Eckerstr. 1
From a graph (e.g., cities and flights between them) one can generate an algebra which captures the movements along the graph.\n\nThis talk is about one type of such correspondences, i.e., Leavitt path algebras.\n\nDespite being introduced only 8 years ago, Leavitt path algebras have arisen in a variety of different contexts as diverse as analysis, symbolic dynamics, noncommutative geometry and representation theory. In fact, Leavitt path algebras are algebraic counterpart to graph C*-algebras, which has become an area of intensive research. There are strikingly parallel similarities between these two theories. Even more surprisingly, one cannot (yet) obtain the results in one theory as a consequence of the other; the statements look the same, however the techniques to prove them are quite different (as the names suggest, one uses Algebra and other Analysis). These all suggest that there might be a bridge between Algebra and Analysis yet to be uncovered.\n\nIn this talk, we introduce Leavitt path algebras and then try to understand the behaviour and to classify them by means of (graded) K-theory. We will ask nice questions!\n
Friday, 20.12.13, 10:15-11:15, Raum 404, Eckerstr. 1