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8 Colloquium
Colloquium Speaker: Yasha Berchenko-Kogan (Pennsylvania State University) "Geometry and Computation" Time: 14:30 Room: Via Zoom Geometric ideas can help us understand and develop computational methods. In turn, numerical methods let us compute and visualize geometric objects. I will illustrate the fruitful interaction between these two fields with examples from mathematical neuroscience, numerical analysis, and mean curvature flow. Join Zoom Meeting https://westernuniversity.zoom.us/j/95109938102 Meeting ID: 951 0993 8102 Passcode: talks One tap mobile +16475580588,,95109938102#,,,,*776449# Canada https://gather.town/app/QpSa5CyNCP4WrNKm/MathTea
Analysis Learning Seminar
Analysis Learning Seminar Speaker: Rasul Shafikov (Western) "Foliations, Poincare metric, Uniformazation" Time: 15:40 Room: MC 108 This is the first talk in the series with the goal of understanding recent results due to M. Brunella concerning Poincare metric on algebraic surfaces equipped with a singular holomorphic foliation. |
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10 Colloquium
Colloquium Speaker: David White (Denison University) "The Kervaire Invariant One Problem and the Blumberg-Hill Conjecture" Time: 14:00 Room: Zoom In a 2016 Annals paper, Hill, Hopkins, and Ravenel solved the Kervaire Invariant One Problem using tools from equivariant stable homotopy theory. This problem goes back over 60 years, to the days of Milnor and the discovery of exotic smooth structures on spheres. Of particular importance it its solution were equivariant commutative ring spectra and their multiplicative norms. A more thorough investigation of multiplicative norms, using the language of operads, was recently conducted by Blumberg and Hill, though the existence in general of their new “N-infinity†operads was left as a conjecture. In this talk, I will provide an overview of the Kervaire problem and its solution, I will explain where the operads enter the story, and I will prove the Blumberg-Hill conjecture using a new model structure on the category of equivariant operads. Join Zoom Meeting https://westernuniversity.zoom.us/j/95109938102 Meeting ID: 951 0993 8102 Passcode: talks One tap mobile +16475580588,,95109938102#,,,,*776449# Canada https://gather.town/app/QpSa5CyNCP4WrNKm/MathTea |
11 Algebra Seminar
Algebra Seminar Speaker: Juan Esteban Rodriguez Camargo (postponed to 3/4/22) (ENS de Lyon ) "Solid locally analytic representations of p-adic Lie groups" Time: 14:30 Room: ZOOM In this joint work with Joaquin Rodrigues Jacinto, we develop the theory of locally analytic representations from the perspective of Condensed mathematics of Clausen-Scholze. Taking as inspiration foundational works on the subject from Lazard/Schneider - Tetelbaum/Emerton, etc., we reprove and generalize some cohomological comparisons between continuous, locally analytic and Lie algebra cohomology. Colloquium
Colloquium Speaker: Luis Scoccola (Northeastern) "Data analysis and multiparameter persistence" Time: 14:30 Room: MC 108 Algorithms in data science often take parameters, which are chosen using rules of thumb or by making strong assumptions about the data. Persistence theory studies parametrized families of topological spaces by means of algebraic objects called persistence modules and, by describing the structure of persistence modules, it provides us with topological descriptors that summarize the varying topology of a parametrized family of spaces. In particular, persistence can be used to summarize the output of many geometric algorithms as we vary their parameters, and thus provides novel tools for parameter selection. It was recognized early in the development of persistence that the structure of persistence modules with two or more parameters -- called multiparameter persistence modules -- is significantly more complicated than the structure of their one-parameter counterparts and much effort has gone into the development of descriptors for multiparameter persistence modules. I will describe two related research programs of mine: applications of multiparameter persistence to density-based clustering, and the development of visualizable and stable descriptors of multiparameter persistence modules using tools from relative homological algebra. Join Zoom Meeting https://westernuniversity.zoom.us/j/95109938102 Meeting ID: 951 0993 8102 Passcode: talks One tap mobile +16475580588,,95109938102#,,,,*776449# Canada https://gather.town/app/QpSa5CyNCP4WrNKm/MathTea |
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Mathematics Calendar 
Week of February 6, 2022
