Seminar

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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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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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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Time: 17:00 (Israel Time) Location: On Zoom Abstract. The goal of this talk is to report on the progress in the program of comparing the model of $(\infty,n)$-categories given by complicial sets with the more established models, in particular with…
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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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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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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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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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Time: 17:15 Location: On Zoom and in Room 614 Haifa University Mathematics and Science Building Abstract:  I will start by reviewing some work of others: sketching a (higher) categorical approach to geometry. After that, I will explain how using this…
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