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11/12/2020, 17:00 — 18:00 Europe/Lisbon —
Online

Anna Beliakova, *University of Zürich*

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Cyclotomic expansions of the $gl_N$ knot invariants

Newton’s interpolation is a method to reconstruct a function from its values at different points. In the talk I will explain how one can use this method to construct an explicit basis for the center of quantum $gl_N$ and to show that the universal $gl_N$ knot invariant expands in this basis. This will lead us to an explicit construction of the so-called unified invariants for integral homology 3-spheres, that dominate all Witten-Reshetikhin-Turaev invariants. This is a joint work with Eugene Gorsky, that generalizes famous results of Habiro for $sl_2$.

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18/12/2020, 17:00 — 18:00 Europe/Lisbon —
Online

Penka Georgieva, *Sorbonne Université*

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Klein TQFT and real Gromov-Witten invariants

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15/01/2021, 17:00 — 18:00 Europe/Lisbon —
Online

Brent Pym, *McGill University*

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Multiple zeta values in deformation quantization

In 1997, Kontsevich gave a universal solution to the deformation quantization problem in mathematical physics: starting from any Poisson manifold (the classical phase space), it produces a noncommutative algebra of quantum observables by deforming the ordinary multiplication of functions. His formula is a Feynman expansion whose Feynman integrals give periods of the moduli space of marked holomorphic disks. I will describe joint work with Peter Banks and Erik Panzer, in which we prove that Kontsevich's integrals evaluate to integer-linear combinations of multiple zeta values, building on Francis Brown's theory of polylogarithms on the moduli space of genus zero curves.

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29/01/2021, 17:00 — 18:00 Europe/Lisbon —
Online

Severin Bunk, *Univ. of Hamburg*

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Universal Symmetries of Gerbes and Smooth Higher Group Extensions