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School JTP: Perverse sheaves and schobers on Riemann surfaces, Tobias DyckerhoffReporting on joint work in progress with M. Kapranov, V. Schechtman, and Y. Soibelman, I will explain how to describe the derived constructible category of a stratified Riemann surface as representations of the so-called paracyclic category of the surface. This allows for geometric depictions of the various t-structures of interest (including the perverse one) and their interplay with Verdier duality. We will then discuss how this leads to an approach to categorified perverse sheaves (perverse schobers) and provide applications.https://tube.octaplex.net/videos/embed/27bce066-6cd3-412f-a248-d3a69a3e2fc3https://tube.octaplex.net/videos/watch/7f1422c9-a748-41b8-a754-426bac9faadahttps://tube.octaplex.net/static/thumbnails/bff3d49b-f360-44ae-8dbf-fe73340ae154.jpgA categorified Dold-Kan correspondence (CRM, Barcelona, 04.02.2021)A categorified Dold-Kan correspondence (CRM, Barcelona, 04.02.2021)https://tube.octaplex.net/videos/embed/7f1422c9-a748-41b8-a754-426bac9faadahttps://tube.octaplex.net/videos/watch/47bee6a6-5f82-4d4b-9ba6-877ec973f1dchttps://tube.octaplex.net/static/thumbnails/133ca150-5ce7-496e-9eec-a3eb973d2587.jpgS-constructions, Auslander algebras, and wrapped Floer theoryTalk in electronic algebraic K-theory seminar. https://tube.octaplex.net/videos/embed/47bee6a6-5f82-4d4b-9ba6-877ec973f1dchttps://tube.octaplex.net/videos/watch/3db91d27-4706-4a23-93e8-6824324e2500https://tube.octaplex.net/static/thumbnails/f0bb35cd-80f1-4e14-9f62-641e1d157ed1.jpgAlgebraic Topology Lecture02 Part2Algebraic Topology Lecture02 Part2https://tube.octaplex.net/videos/embed/3db91d27-4706-4a23-93e8-6824324e2500https://tube.octaplex.net/videos/watch/e26589e6-8bbe-42b9-9d7b-71199def6316https://tube.octaplex.net/static/thumbnails/211e9b22-4692-446f-beef-3db7ded1e61d.jpgAlgebraic Topology Lecture03 Part1Algebraic Topology Lecture03 Part1https://tube.octaplex.net/videos/embed/e26589e6-8bbe-42b9-9d7b-71199def6316https://tube.octaplex.net/videos/watch/517303c8-4802-4861-804c-44692067f0bdhttps://tube.octaplex.net/static/thumbnails/d1ce56c7-7302-4b91-b2cf-867ac66366bb.jpgAlgebraic Topology Lecture03 Part2Algebraic Topology Course at the University of Hamburghttps://tube.octaplex.net/videos/embed/517303c8-4802-4861-804c-44692067f0bdhttps://tube.octaplex.net/videos/watch/cbfdb204-af96-406a-86b9-d26115c5ed4ahttps://tube.octaplex.net/static/thumbnails/4cd5e71d-0825-4d37-b63a-ae3c7978ddc8.jpgAlgebraic Topology Lecture04 Part1Algebraic Topology Course at the University of Hamburghttps://tube.octaplex.net/videos/embed/cbfdb204-af96-406a-86b9-d26115c5ed4ahttps://tube.octaplex.net/videos/watch/20bc6038-beb1-4ad3-bb15-8c405d18e7d8https://tube.octaplex.net/static/thumbnails/09255909-eea1-4f75-892c-08a6f7c16dc8.jpgAlgebraic Topology Lecture04 Part2Algebraic Topology Course at the University of Hamburghttps://tube.octaplex.net/videos/embed/20bc6038-beb1-4ad3-bb15-8c405d18e7d8https://tube.octaplex.net/videos/watch/baab2d04-9998-4a6c-a1e8-dbf7d39405b8https://tube.octaplex.net/static/thumbnails/e0f4ff70-5d23-41e6-a34b-201c2aab271e.jpgAlgebraic Topology Lecture05 Part1Algebraic Topology Course at the University of 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