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Thursday - October 17 |
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Time |
Room |
Speaker/Title/Abstract |
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12:30 - 14:00 |
MIN 208 |
Registration and informal gathering for lunch |
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14:00 - 15:00 |
MIN 208 |
Pavol Ševera - Moment maps, centers, moduli spaces Abstract: I will explain how the theory of (generalized) moment maps can be replaced with the notion of left and right centers of quasi-Poisson manifolds and apply this point of view to moduli spaces of flat connections on surfaces with various boundary data. I will briefly discuss why it is beneficial for explicit deformation quantization of the resulting Poisson manifolds. |
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15:30 - 16:30 |
MIN 208 |
Javier Gutiérrez - On Ohkawa's theorem for combinatorial model categories Abstract: A theorem due to Ohkawa states that the collection of Bousfield equivalence classes of spectra is a set. This fact has been studied and generalized to other triangulated categories by Neeman, Iyengar-Krause and Dwyer-Palmieri. In this talk, I will explain how to extend this result to arbitrary combinatorial model categories. This is a joint work with C. Casacuberta and J. Rosick ý. |
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17:00 - 18:00 |
MIN 208 |
Gregor Schaumann - A diagrammatic calculus for tricategories, dualities and strictification. Abstract: We introduce a 3-dimensional diagrammatic calculus for tricategories that extends the calculus of ribbon diagrams to diagrams including surfaces in the cube. Orientation reversal of surfaces and lines corresponds to two duality operations on the tricategories. The singularity structure of the projection of the diagrams and the corresponding moves describe precisely the structure of the strict version of a tricategory with duals. The example of bimodule categories and applications to defects in 3-d topological field theories will be discussed. Part of this is joint work with Catherine Meusburger and John Barrett. |
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18:30 |
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Drinks and dinner at the Faculty Club (see further details above) |
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Friday - October 18 |
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Time |
Room |
Speaker/Title/Abstract |
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10:00 - 11:00 |
BBL 322 |
Arturo Prat-Waldron - Geometric Quantization Revisited Abstract: In this talk we will review the geometric quantization of certain symplectic supermanifolds arising from the variational calculus of one dimensional supersymmetric sigma models. We will discuss how this point of view fits in the Stolz-Teichner approach to cohomology theories via Euclidean Field Theories, and the possible extensions to higher dimensional sigma models. |
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11:30 - 12:30 |
BBL 322 |
Anton Zeitlin - Conformal invariance for sigma models, Courant algebroids and homotopy algebras. Abstract: We discuss the G-infinity algebra associated to Courant algebroids with Calabi-Yau structure and its relation to the vanishing condition for the (covariant) Beta-functions of sigma models in string theory leading to field equations with corrections. |
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13:30 - 14:30 |
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Lunch |
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14:30 - 15:30 |
BBL 322 |
Matias del Hoyo - Metrics on stacks Abstract: In a joint work with R. Fernandes we introduce a notion of Riemannian metrics for Lie groupoids, prove that any proper groupoid admits a metric, and show that the exponential maps of our metrics yield linearizations of the groupoid structures, providing both a simple proof and a generalization for the Weinstein-Zung Theorem. I will talk about these ideas from the stack perpective: our notion is Morita invariant, leading to stacky versions of metrics, normal coordinates and tubular neighborhoods. |
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16:00 - 17:00 |
BBL 322 |
Camilo Arias Abad - Higher dimensional analogues of braid representations |
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