Geometry and Topology Seminar

The Geometry and Topology Seminar at the University of Haifa meets every two weeks, with talks on a wide range of topics in algebraic, geometric, differential, and symplectic topology, and in differential and algebraic geometry, broadly understood.

The seminar takes place on Wednesday 12:10 in room 614 (tentative). For more information please contact the seminar organizer, Frol Zapolsky.

U. Haifa Topology & Geometry seminar: Sunday, June 12, 2022. Speaker: Gil Bor (CIMAT, Mexico). Title: “Cusps of caustics by reflection in a convex billiard table”.

Time:         17:00 (Israel Time) Location:  In Room 614 of the Science & Education Building, University of Haifa and on Zoom Recording: https://us02web.zoom.us/rec/share/11wbNQ9drctg3GJjEHL784aCI9iAczSpRsOuPha69BFsCmeQl6KXclBCWauaFMNF.mJ2eReCfMakLrdia Abstract. We place a light source inside a smooth convex billiard table (or mirror). The n-th caustic by…
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U. Haifa Topology & Geometry seminar: Sunday, May 29, 2022. Speaker: Markus Upmeier (Aberdeen). Title: “Cobordism categories and Atiyah-Singer index theory”.

Time: 17:00 (Israel Time) Location: On Zoom Recording: https://us02web.zoom.us/rec/share/OCd0OzhQnH8AcW2AjbpVGS5hFi4vW11OkS6gE0sFu7oVeakAviNsc0RJMB0BeneB.nQls_DORtJQrjgt3 Abstract.   I will discuss work in progress that categorifies the analytic index of Atiyah-Singer in terms of a new construction using representation theory of Clifford algebras. My main theorem shows that…
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U. Haifa Topology & Geometry seminar: Sunday, May 22, 2022. Speaker: Andrew Salch (Wayne State). Title: “Stable homotopy groups and special values of L-functions”.

Time: 17:00 (Israel Time) Location: On Zoom Recording: https://us02web.zoom.us/rec/share/2p8IC8Cg-VEwNlgsDG_sQJRv-tPbLizEwXxI1DFuCzYujlmGkGa7ndhiUdxxLD9-.quz6ubBm7uCXOi-0 Abstract.  In this talk, I will survey the known relationships between stable homotopy groups of Bousfield localizations of finite spectra and special values of L-functions. Given a p-local finite spectrum X,…
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U. Haifa Topology & Geometry seminar: Sunday, May 8, 2022. Speaker: Sourav Das (Haifa). Title: “Title:  Higgs bundles on nodal curves”.

Time: 17:00 (Israel Time) Location: On Zoom Recording: https://us02web.zoom.us/rec/share/u3nIzULAEKHfZe3iCm0KZxftqdZ0Pzcjd0EGV3ipl6eZ_I_IOGMzzsCYk42k5sXJ.8zyeCrlu8P3ySdxb Abstract. In I987 Nigel Hitchin proved that the moduli space of Higgs bundles on a smooth projective curve (of genus greater than equal to 2) has a natural symplectic structure. In…
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U. Haifa Topology & Geometry seminar: Sunday, May 1, 2022. Speaker: Dimitri Ara (Marseilles). Title: “Comparison of three nerve functors for strict n-categories”.

Time: 17:00 (Israel Time) Location: On Zoom Abstract: The nerve functor from categories to simplicial sets allows to associate toany small category a homotopy type giving rise to a homotopy theory of smallcategories studied by Quillen, Thomason and Grothendieck. To…
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U. Haifa Topology & Geometry seminar: Sunday, Apr. 24, 2022. Speaker: Surojit Ghosh (IIT Roorkee). Title: “Slice Filtration of E”.

Time: 17:00 (Israel Time) Location: On Zoom Recording: https://us02web.zoom.us/rec/share/hgnju1bKL_ueL3VYdTVbsd1yvB737rHJxu7HK2UyAien-F4CgUYMa2iWYxL_7sHL.Yn8cQ8p8qmFdUK0e Abstract. The slice filtration is an equivariant analogue of the Postnikov tower and it is modeled on Voevodsky’s motivic filtration. I will begin by recalling the definition of slice filtration along…
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U. Haifa Topology & Geometry seminar: Sunday, Apr. 10, 2022. Speaker: Niles Johnson (Ohio State University). Title: “Graded Picard categories and the 2-type of the sphere”.

Time: 17:00 (Israel Time) Location: On Zoom Recording: https://us02web.zoom.us/rec/share/c93WMCqjj3eUShqHmo0pAyvcVQsJCDKMfFflNdJvj3NjjXnwH6rndDkFT1J8YBFJ.wkT8MPwk-Dl_yovw Slides: https://nilesjohnson.net/notes/grPic-P2S.pdf Abstract: The Stable Homotopy Hypothesis connects symmetric monoidalalgebra and stable homotopy theory.  In a classical special case, thethe tensor product of graded abelian groups leads to a model for…
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U. Haifa Topology & Geometry seminar: Sunday, Apr. 3, 2022. Speaker: Sanjeevi Krishnan (Ohio State University). Title: “A Kan Condition for Directed Homotopy”.

Time: 17:00 (Israel Time) Location: On Zoom Abstract.The Kan condition guarantees that a simplicial set, a formal colimit of abstract simplices, models enough features of a topological space so that classical homotopy theory can be given a completely combinatorial description. …
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