{"id":2076,"date":"2021-06-16T11:23:26","date_gmt":"2021-06-16T08:23:26","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2076"},"modified":"2021-09-12T13:07:12","modified_gmt":"2021-09-12T10:07:12","slug":"online-seminar-u-haifa-topology-geometry-seminar-on-june-20-2021","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2076","title":{"rendered":"Online seminar, U. Haifa Topology & Geometry seminar on June 20, 2021"},"content":{"rendered":"\n

A recording of the talk is available here<\/a>.<\/p>\n\n\n\n

Topology & Geometry Seminar<\/u><\/strong><\/p>\n\n\n\n

Speaker: Devarshi Mukherjee, University of G\u00f6ttingen<\/p>\n\n\n\n

Topic: Dagger geometry and cyclic homology<\/p>\n\n\n\n

Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot il” for the Zoom ID and password.<\/p>\n\n\n\n

Time: 16:00<\/p>\n\n\n\n

Date: Sunday, June 20, 2021<\/p>\n\n\n\n

                                                   Abstract<\/u><\/strong>:<\/u><\/strong><\/p>\n\n\n\n

In this talk, I will explain how to extend overconvergent non-archimedean geometry to the realm of non-commutative geometry. Over the complex numbers, this means extending the algebra of smooth functions (resp. the modules of differential forms) on a manifold to arbitrary associative algebras (resp. Hochschild homology). The precise way to encode this generalisation is that the periodic cyclic homology of a smooth manifold coincides with de Rham cohomology. In overconvergent non-archimedean geometry, the right replacement for de Rham cohomology is rigid cohomology. We take several steps in the direction of proving that analytic cyclic homology is the non-commutative generalisation of rigid cohomology. Along the way, we discuss examples of non-commutative overconvergent algebras, such as algebras that arise from group actions on varieties. This is joint work with Guillermo Cortinas and Ralf Meyer.<\/p>\n","protected":false},"excerpt":{"rendered":"

A recording of the talk is available here. Topology & Geometry Seminar Speaker: Devarshi Mukherjee, University of G\u00f6ttingen Topic: Dagger geometry and cyclic homology Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot…
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