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12/09/2022, 09:00
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Barbara Dembin12/09/2022, 09:15
Consider the graph (Zd, Ed) and some parameter p ∈ [0, 1]. Let (Be)e∈Ed be an i.i.d. family of Bernoulli random variables of parameter p. Consider the random graph Gp where we only keep the edges such that Be = 1. This is the model of percolation where the central question is the existence of an infinite connected component in Gp given the value of p.
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This model may be generalised by... -
Tomas Reis12/09/2022, 10:30
Renormalons are non-perturbative effects which are manifested in perturbative series. While they appear in important QFTs, they are in general poorly understood. In this talk I will explain how to analytically find these non-perturbative effects in the free energy starting from the Bethe ansatz integral equations. I will also present a short introduction to the framework of resurgence and to how...
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Mikaela Iacobelli (ETHZ)12/09/2022, 11:15
In this colloquium we will present two kinetic models that are
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used to describe the evolution of charged particles in plasmas: the
Vlasov-Poisson system and the Vlasov-Poisson system with massless
electrons. These systems model respectively the evolution of
electrons, and ions in a plasma. We will discuss the well-posedness of
these systems, the stability of solutions, and their... -
Alberto Cattaneo (UZH)12/09/2022, 13:30
The BV formalism and its shifted versions in field theory have a nice compatibility with boundary structures. Namely, one such structure in the bulk induces a shifted (possibly degenerated) version on its boundary. I will discuss in particular how to proceed from the BFV structure on a “space” slice in field theory, which describes the symplectic reduction due to constraints), to a shifted...
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Qianyu Hao12/09/2022, 14:30
4d N = 2 supersymmetric theories are known to be connected with differential equations. We study a specific example of SU(2) Nf = 1 theory which corresponds to a Schrodinger equation. An important quantity to study in the exact WKB analysis of the Schrodinger equation is the quantum period, also known as the Voros symbol, which is defined as the Borel summation of the term by term integration of...
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Rafael Moser12/09/2022, 15:30
I will discuss the O(2N) vector model with a quartic interaction at leading order in N, in a setting that allows for large charge methods to be deployed. I will then discuss the phase space in dimensions D = 3 and D = 5 based on the convexity properties of the grand potential. We find very different behaviour in the two cases: While in D = 3, the theory is well-behaved, the model in D = 5 leads...
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Christoph Kehle12/09/2022, 16:00
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12/09/2022, 17:00
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12/09/2022, 18:15
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Tommaso Maria Botta13/09/2022, 09:00
The notion of stable envelopes of a symplectic resolution, developed by Okounkov and his coauthors in the last decade, lies at the heart of the geometric approach to the represen-tation theory of quantum groups and q-difference equations. Nakajima quiver varieties form a rich family of symplectic resolutions, whose geometry governs the representation theory of Kac-Moody Lie algebras and, via...
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Adrian Sanchez Garrido13/09/2022, 09:30
Krylov complexity is a notion of complexity that characterizes the spread of an operator over the algebra of observables by measuring its projection over a suitable orthonor-mal basis of this algebra built out of nested commutators of the Hamiltonian with the operator. Using this basis, operator dynamics can be mapped to a one-dimensional hopping problem. In this talk I will present recent...
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Alexandre Rege13/09/2022, 10:00
The Vlasov-Poisson system with external magnetic field is a classic model used to describe plasmas. I will review recent results regarding propagation of velocity moments and uniqueness for weak solutions to this system.
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Biswajit Sahoo13/09/2022, 11:00
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Vincent Vargas (UNIGE)13/09/2022, 11:30
Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. Liouville theory appeared there under the form of a 2D Feynman path inte-gral and since then has appeared in a wide variety of contexts (random conformal geometry, SUSY Yang-Mills, etc. . . ). Recently, a rigorous probabilistic construction of the path inte-gral was provided using the Gaussian...
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Anfisa Gurenkova14/09/2022, 09:00
Let g be a classical Lie algebra. There is a family of commutative subalgebras in Ug over the Deligne-Mumford moduli space M0,n+1 with the following properties:
• over the subset of configurations of n points on A1 it coincides with the family Gaudin subalgebras,
• over the special points it coincides with Gelfand-Zeitlin subalgebras.Moreover, over the real locus M0,n+1(R) it acts with...
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Aleksandr Trufanov14/09/2022, 09:30
We revisit the classical coset construction sl(2)1 ⊕ sl(2)k. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive formulas for matrix elements of certain vertex operators between these vectors. The results were motivated by the Nekrasov approach to the Kiev formulas for the Painlev´e tau-functions.
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Iuliia Popova14/09/2022, 10:30
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Pietro Pelliconi14/09/2022, 11:00
Large black holes in anti-de Sitter space have positive specific heat and do not evaporate. In order to mimic the behavior of evaporating black holes, one may couple the system to an external bath. In this talk I will explore a rich family of such models, namely ones obtained by coupling two holographic CFTs along a shared interface (ICFTs). We focus on the limit where the bulk solution is...
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Victor Gorbenko14/09/2022, 11:30
I will discuss the phenomenon of quark confinement exhibited by quantum chromodynamics - the theory describing one of the four known fundamental forces of nature - as well as by more general non-abelian gauge theories. After reviewing some history of this rich subject, I will explain that the recent progress in understanding of it was achieved due to focusing on a specific object, a long...
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