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:20260404T111447Z UID:ReginaTopologyGeometry/1 DESCRIPTION:Title: Inverse Galois Theory as Thor's Hammer\nby Cathe rine Ray (Universität Münster) as part of University of Regina topology and geometry seminar\n\n\nAbstract\nThe action of the automorphisms of a f ormal group on its deformation space is crucial to understanding periodic families in the homotopy groups of spheres and the unsolved Hecke orbit co njecture for unitary Shimura varieties. We can explicitly pin down this sq uirming action by geometrically modelling it as coming from an action on a moduli space\, which we construct using inverse Galois theory and some re presentation theory (a Hurwitz space). I will show you pretty pictures.\n LOCATION:https://stable.researchseminars.org/talk/ReginaTopologyGeometry/1 / END:VEVENT BEGIN:VEVENT SUMMARY:Elliot Cheung (University of British Columbia) DTSTART:20231101T200000Z DTEND:20231101T210000Z DTSTAMP:20260404T111447Z UID:ReginaTopologyGeometry/2 DESCRIPTION:Title: Towards a discretization of Chern-Simons theory\ nby Elliot Cheung (University of British Columbia) as part of University o f Regina topology and geometry seminar\n\n\nAbstract\nWe will describe a d iscretization of Chern-Simons theory using Whitney forms. Derived moduli s paces are often described using L-infinity algebras and it is interesting to explore how a derived moduli space varies as we modify the 'governing L -infinity algebra' by a homotopy. In this example\, we utilize the well-kn own Dupont homotopy operator to define a discretization of the infinite-di mensional DGLA controlling the moduli problem relevant to Chern-Simons the ory. In doing so\, we can describe an ( ind-) finite-dimensional model for a derived enhancement of the moduli space of flat connections on an orien ted closed 3-manifold $M$ equipped with a triangulation $K_M$. This derive d moduli space has a -1-shifted symplectic structure which also comes with 'geometric quantization data'. This can be used to define a 3-manifold in variant\, which can be viewed as a discretization of Witten's Chern-Simons partition function invariant for 3-manifolds.\n LOCATION:https://stable.researchseminars.org/talk/ReginaTopologyGeometry/2 / END:VEVENT BEGIN:VEVENT SUMMARY:Mahmoud Zeinalian (Lehman College\, CUNY) DTSTART:20240320T183000Z DTEND:20240320T193000Z DTSTAMP:20260404T111447Z UID:ReginaTopologyGeometry/3 DESCRIPTION:Title: The Chern character after Toledo-Tong and Green\ nby Mahmoud Zeinalian (Lehman College\, CUNY) as part of University of Reg ina topology and geometry seminar\n\n\nAbstract\nI will review some of the basic machinery used in formulating characteristic classes for coherent s heaves on complex manifolds. The main ideas go back to the fundamental wor k of Toledo and Tong in the 70s. A natural extension of their ideas leads to defining these invariants for higher stacks. I will showcase some of th e main tools and concepts without methodically entering the subject of hig her stacks\, making the talk appealing to classical differential geometers . This is based on joint works with T. Tradler\, M. Miller\, C. Glass\, an d T. Hosgood.\n LOCATION:https://stable.researchseminars.org/talk/ReginaTopologyGeometry/3 / END:VEVENT BEGIN:VEVENT SUMMARY:Olivia Borghi (University of Melbourne) DTSTART:20240403T230000Z DTEND:20240404T000000Z DTSTAMP:20260404T111447Z UID:ReginaTopologyGeometry/4 DESCRIPTION:Title: Commutativity in Higher Algebraic Objects\nby Ol ivia Borghi (University of Melbourne) as part of University of Regina topo logy and geometry seminar\n\n\nAbstract\nA symmetric monoidal category is a category equipped with a monoidal product that is uniquely commutative u p to isomorphism. In this way the iterated monoidal product has an action from the symmetric groups. We can generalize this notion by allowing actio ns from other permutative groups. Examples include braided monoidal catego ries\, coboundary categories and ribbon braided monoidal categories. These generalized commutative monoidal categories find use in the representatio n theory of quantum groups (coboundary categories) and the study of TQFTs (ribbon braided monoidal categories). \n\nIn this talk I will explain we c an generalize the definition of symmetric monoidal $\\infty$-category and $\\infty$-operad in the same manner allowing a more generic notion of $G$- monoidal $\\infty$-category and $\\infty$-$G$-operad.\n LOCATION:https://stable.researchseminars.org/talk/ReginaTopologyGeometry/4 / END:VEVENT BEGIN:VEVENT SUMMARY:Adela YiYu Zhang (University of Copenhagen) DTSTART:20241107T180000Z DTEND:20241107T190000Z DTSTAMP:20260404T111447Z UID:ReginaTopologyGeometry/5 DESCRIPTION:Title: Universal differentials in the bar spectral sequence \nby Adela YiYu Zhang (University of Copenhagen) as part of University of Regina topology and geometry seminar\n\n\nAbstract\nThe synthetic anal ogue of the bar comonad controls the universal differentials in the bar sp ectral sequence of algebras over spectral operads. This can be viewed as a deformation of Koszul duality of such algebras. I will explain ongoing wo rk with Burklund and Senger on identifying the universal differentials in the bar spectral sequence for spectral Lie algebras over $\\mathbb{F}_p$. This will also shed light on the mod $p$ homology and Lubin–Tate theory of labeled configuration spaces via a theorem of Knudsen.\n LOCATION:https://stable.researchseminars.org/talk/ReginaTopologyGeometry/5 / END:VEVENT BEGIN:VEVENT SUMMARY:Jesse Wolfson (University of California\, Irvine) DTSTART:20250318T190000Z DTEND:20250318T200000Z DTSTAMP:20260404T111447Z UID:ReginaTopologyGeometry/6 DESCRIPTION:Title: Higher Lie Theory\nby Jesse Wolfson (University of California\, Irvine) as part of University of Regina topology and geome try seminar\n\n\nAbstract\n$L_\\infty$-algebras\, i.e. Lie algebras up to homotopy coherent homotopy\, appear in a variety of contexts\, including s tring theory and deformation theory. Over the last several decades\, the o utlines of a Lie theory for such objects has appeared in work of Sullivan\ , Getzler\, Henriques and others. In this talk\, we'll present joint work with Chris Rogers (UNR) establishing Lie's second and third theorems for connective $L_\\infty$-algebras\, with a focus on Lie's third theorem as a n interplay of homotopical algebra\, differential topology and Lie theory. \n LOCATION:https://stable.researchseminars.org/talk/ReginaTopologyGeometry/6 / END:VEVENT END:VCALENDAR