BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Catherine Ray (Universität Münster) DTSTART:20231004T200000Z DTEND:20231004T210000Z DTSTAMP:20260314T085017Z UID:ReginaTopologyGeometry/1 DESCRIPTION:Title: Inverse Galois Theory as Thor's Hammer\nby Catherine Ra y (Universität Münster) as part of University of Regina topology and geo metry seminar\n\n\nAbstract\nThe action of the automorphisms of a formal g roup on its deformation space is crucial to understanding periodic familie s in the homotopy groups of spheres and the unsolved Hecke orbit conjectur e for unitary Shimura varieties. We can explicitly pin down this squirming action by geometrically modelling it as coming from an action on a moduli space\, which we construct using inverse Galois theory and some represent ation theory (a Hurwitz space). I will show you pretty pictures.\n LOCATION:https://researchseminars.org/talk/ReginaTopologyGeometry/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Elliot Cheung (University of British Columbia) DTSTART:20231101T200000Z DTEND:20231101T210000Z DTSTAMP:20260314T085017Z UID:ReginaTopologyGeometry/2 DESCRIPTION:Title: Towards a discretization of Chern-Simons theory\nby Ell iot Cheung (University of British Columbia) as part of University of Regin a topology and geometry seminar\n\n\nAbstract\nWe will describe a discreti zation of Chern-Simons theory using Whitney forms. Derived moduli spaces a re often described using L-infinity algebras and it is interesting to expl ore how a derived moduli space varies as we modify the 'governing L-infini ty algebra' by a homotopy. In this example\, we utilize the well-known Dup ont homotopy operator to define a discretization of the infinite-dimension al DGLA controlling the moduli problem relevant to Chern-Simons theory. In doing so\, we can describe an ( ind-) finite-dimensional model for a deri ved enhancement of the moduli space of flat connections on an oriented clo sed 3-manifold $M$ equipped with a triangulation $K_M$. This derived modul i space has a -1-shifted symplectic structure which also comes with 'geome tric quantization data'. This can be used to define a 3-manifold invariant \, which can be viewed as a discretization of Witten's Chern-Simons partit ion function invariant for 3-manifolds.\n LOCATION:https://researchseminars.org/talk/ReginaTopologyGeometry/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Mahmoud Zeinalian (Lehman College\, CUNY) DTSTART:20240320T183000Z DTEND:20240320T193000Z DTSTAMP:20260314T085017Z UID:ReginaTopologyGeometry/3 DESCRIPTION:Title: The Chern character after Toledo-Tong and Green\nby Mah moud Zeinalian (Lehman College\, CUNY) as part of University of Regina top ology and geometry seminar\n\n\nAbstract\nI will review some of the basic machinery used in formulating characteristic classes for coherent sheaves on complex manifolds. The main ideas go back to the fundamental work of To ledo and Tong in the 70s. A natural extension of their ideas leads to defi ning these invariants for higher stacks. I will showcase some of the main tools and concepts without methodically entering the subject of higher sta cks\, making the talk appealing to classical differential geometers. This is based on joint works with T. Tradler\, M. Miller\, C. Glass\, and T. Ho sgood.\n LOCATION:https://researchseminars.org/talk/ReginaTopologyGeometry/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Olivia Borghi (University of Melbourne) DTSTART:20240403T230000Z DTEND:20240404T000000Z DTSTAMP:20260314T085017Z UID:ReginaTopologyGeometry/4 DESCRIPTION:Title: Commutativity in Higher Algebraic Objects\nby Olivia Bo rghi (University of Melbourne) as part of University of Regina topology an d geometry seminar\n\n\nAbstract\nA symmetric monoidal category is a categ ory equipped with a monoidal product that is uniquely commutative up to is omorphism. In this way the iterated monoidal product has an action from th e symmetric groups. We can generalize this notion by allowing actions from other permutative groups. Examples include braided monoidal categories\, coboundary categories and ribbon braided monoidal categories. These genera lized commutative monoidal categories find use in the representation theor y of quantum groups (coboundary categories) and the study of TQFTs (ribbon braided monoidal categories). \n\nIn this talk I will explain we can gene ralize the definition of symmetric monoidal $\\infty$-category and $\\inft y$-operad in the same manner allowing a more generic notion of $G$-monoida l $\\infty$-category and $\\infty$-$G$-operad.\n LOCATION:https://researchseminars.org/talk/ReginaTopologyGeometry/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Adela YiYu Zhang (University of Copenhagen) DTSTART:20241107T180000Z DTEND:20241107T190000Z DTSTAMP:20260314T085017Z UID:ReginaTopologyGeometry/5 DESCRIPTION:Title: Universal differentials in the bar spectral sequence\nb y Adela YiYu Zhang (University of Copenhagen) as part of University of Reg ina topology and geometry seminar\n\n\nAbstract\nThe synthetic analogue of the bar comonad controls the universal differentials in the bar spectral sequence of algebras over spectral operads. This can be viewed as a deform ation of Koszul duality of such algebras. I will explain ongoing work with Burklund and Senger on identifying the universal differentials in the bar spectral sequence for spectral Lie algebras over $\\mathbb{F}_p$. This wi ll also shed light on the mod $p$ homology and Lubin–Tate theory of labe led configuration spaces via a theorem of Knudsen.\n LOCATION:https://researchseminars.org/talk/ReginaTopologyGeometry/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Jesse Wolfson (University of California\, Irvine) DTSTART:20250318T190000Z DTEND:20250318T200000Z DTSTAMP:20260314T085017Z UID:ReginaTopologyGeometry/6 DESCRIPTION:Title: Higher Lie Theory\nby Jesse Wolfson (University of Cali fornia\, Irvine) as part of University of Regina topology and geometry sem inar\n\n\nAbstract\n$L_\\infty$-algebras\, i.e. Lie algebras up to homotop y coherent homotopy\, appear in a variety of contexts\, including string t heory and deformation theory. Over the last several decades\, the outlines of a Lie theory for such objects has appeared in work of Sullivan\, Getzl er\, Henriques and others. In this talk\, we'll present joint work with C hris Rogers (UNR) establishing Lie's second and third theorems for connect ive $L_\\infty$-algebras\, with a focus on Lie's third theorem as an inter play of homotopical algebra\, differential topology and Lie theory.\n LOCATION:https://researchseminars.org/talk/ReginaTopologyGeometry/6/ END:VEVENT END:VCALENDAR