Elenco seminari del ciclo di seminari
“TOPICS IN GLOBAL ANALYSIS.”

Series of lectures held by prof. Gerardo Mendoza (Temple University, USA). The course will be concerned with aspects of the theory of elliptic differential operators in which global phenomena, as opposed to local, are a dominant feature. The aim is to go into each of the following topics in sufficient detail that the beauty of each and of the mathematics involved becomes apparent. 1. Elliptic boundary value problems (up to the description of the Atiyah-Bott obstruction to the existence of Lopatinskii-Schapiro conditions for a given elliptic differential operator on a given compact manifold ). 2. Hodge theory (elliptic complexes on closed manifolds). 3. The Atiyah-Bott formula for the Lefschetz number. 4. Eigenvalues and the zeta-function of an elliptic operator. 5. The gluing formula for determinants of elliptic differential operators.