I am joining efforts with the team working on www.mathseminars.org,so I will not update this list myself anymore. If you want to upload more seminars here, I will still post them, but less often.
Thanks to everyone that has helped update this list on the past weeks! The seminars from this list have been updated on, www.mathseminars.org, so your work has not been lost!
- April 13, 2020.
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Geometric stochastic PDEs
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We review Parisi and Wu’s stochastic quantisation procedure and apply it to the non-linear sigma model as well as the Yang-Mills model. We then review a number of recent results on the resulting equations. In particular, this sheds some new light on an old controversy regarding the interpretation of path integrals.
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Introduction to regularity structures 1
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In these two lectures, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory.
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A localic approach to the semantics of dependency, conflict, and concurrency
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Petri nets have been of interest to applied category theory for some time. Back in the 1980s, one approach to their semantics was given by algebraic gadgets called “event structures.” We use classical techniques from order theory to study event structures without conflict restrictions (which we term “dependency structures with choice”) by their associated “traces”, which let us establish a one-to-one correspondence between DSCs and a certain class of locales.
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The scaling limit for directed polymers in an alpha-stable environment
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Integrable fluctuations in 1+1 dimensional random growth
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Derivation of the wave kinetic equation
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The wave turbulence theory describes the nonequilibrium statistical mechanics for a large class of nonlinear dispersive systems. A major goal of this theory is to derive the wave kinetic equation, which predicts the behavior of macroscopic limits of ensemble averages for microscopic interacting systems. Usually this limit happens at a particular “kinetic time scale” in the “weak-nonlinearity” limit where the number of interacting modes goes to infinity while the nonlinearity strength goes to zero.
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Introduction to regularity structures 2
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In these two lectures, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory.
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The Hilbert scheme of infinite affine space
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I will discuss the Hilbert scheme of $d$ points in affine $n$-space, with some examples. This space has many irreducible components for $n$ at least 3 and is poorly understood. Nonetheless, in the limit where $n$ goes to infinity, we show that the Hilbert scheme of $d$ points in infinite affine space has a very simple homotopy type.
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Spectral Stability, the Maslov Index, and Spatial Dynamics
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Spectral Stability, the Maslov Index, and Spatial Dynamics
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Computing Sato-Tate and monodromy groups
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Separation logic through a new lens
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Separation logic through a new lens
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Lipschitz Free Spaces over Locally Compact Metric Spaces
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Lipschitz Free Spaces over Locally Compact Metric Spaces
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A model for soap films based on capillarity theory
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A model for soap films based on capillarity theory
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Effective Sato-Tate and applications
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