SwissMAP Annual General Meeting

Contribution List

1. Welcome Talk & SwissMAP Innovator Prize Ceremony

12/09/2022, 09:00

2. Innovator Prize Winner - Some results in first passage percolation

Barbara Dembin

12/09/2022, 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.
This model may be generalised by...

6. Innovator Prize Winner - Finding renormalons in integral equations: a resurgent insight into QFT’s conun-drum

Tomas Reis

12/09/2022, 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...

19. Colloquium: Stability and singular limits in plasma physics

Mikaela Iacobelli (ETHZ)

12/09/2022, 11:15

In this colloquium we will present two kinetic models that are
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...

20. Colloquium: Poisson structures from corners of field theories

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...

21. Exact WKB for difference equations and BPS states

Qianyu Hao

12/09/2022, 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...

22. Convexity, large charge and the large N Φ4 theory

Rafael Moser

12/09/2022, 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...

23. An unexpected small divisors instability in general relativity

Christoph Kehle

12/09/2022, 16:00

7. SwissMAP Steering Committee Meeting

12/09/2022, 17:00

8. SwissMAP Group Leaders Meeting

12/09/2022, 18:15

25. Shuffle algebra structure for stable envelopes

Tommaso Maria Botta

13/09/2022, 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...

26. Phenomenology of Krylov Complexity

Adrian Sanchez Garrido

13/09/2022, 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...

27. Well-posedness for the magnetized Vlasov-Poisson system

Alexandre Rege

13/09/2022, 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.

28. Classical soft graviton theorem and gravitational tail memory

Biswajit Sahoo

13/09/2022, 11:00

29. Colloquium: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction

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...

30. Cactus group and Yong tableaux

Anfisa Gurenkova

14/09/2022, 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...

31. Highest-weight vectors and three-point functions in coset decomposition

Aleksandr Trufanov

14/09/2022, 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.

32. Semi-classical conformal blocks and AdS3/CF T2 correspondence

Iuliia Popova

14/09/2022, 10:30

33. Sailing past the Edge and discovering an Island

Pietro Pelliconi

14/09/2022, 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...

34. Colloquium: Confinement: Past, Present and Future

Victor Gorbenko

14/09/2022, 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...