The seminar is joint for the division of Analysis and Probability and its main themes are Mathematical Physics, Probability Theory and Harmonic and Functional Analysis. The seminar is encouraged to be aimed at a broader audience, but some talks may be of a more specialised nature. The talks in the seminar are usually 60 minutes, including questions.

The seminar gradually returns to campus with possibility to attend online via Zoom (subject to technology working).
See schedule below for links to Zoom meetings.

Should you have any questions or suggestions, feel free to email one of the organizers Jakob Björnberg (jakobbj 'at' chalmers.se, Probability Theory), Erik Broman (broman 'at' chalmers.se, Probability Theory) or Clemens Weiske (weiske 'at' chalmers.se, Analysis).

In this talk I am going to present branching problems for some representations of Lie groups which are some members of the so-called holomorphic discrete series. After presenting the motivations, I will present an example of such branching problem with the decomposition of the n-fold tensor product of holomorphic discrete series of SL2(R). This example will allows me to exhibit a link between this branching problem and the study of some orthogonal polynomials on the n-1 dimensional simplex.

We prove stability of integrable ALE manifolds with a parallel spinor under Ricci flow, given an initial metric which is close in $L^p\cap L^{\infty}$ for some $p\in (1,\infty), where n is the dimension of the manifold. In particular, our result applies to all known examples of 4-dimensional gravitational instantons. The result is obtained by a fixed point argument, based on novel estimates for the heat kernel of the Lichnerowicz Laplacian. It allows us to give a precise description of the convergence behaviour of the RIcci flow. Our decay rates are strong enough to prove positive scalar curvature rigidity in $L^p$ for each $p\in [1,\frac{n}{n-2})$, generalizing a result by Appleton. This is joint work with Oliver Lindblad Petersen.

Should you have any questions or suggestions, feel free to email one of the organizers Jakob Björnberg (jakobbj 'at' chalmers.se, Probability Theory), Erik Broman (broman 'at' chalmers.se, Probability Theory) or Clemens Weiske (weiske 'at' chalmers.se, Analysis).

**Coming seminars****2022-05-17 at 13:15, MVL14 and Zoom**

Quentin Labriet (Aarhus, Denmark)Quentin Labriet (Aarhus, Denmark)

*About branching problems for holomorphic discrete series*In this talk I am going to present branching problems for some representations of Lie groups which are some members of the so-called holomorphic discrete series. After presenting the motivations, I will present an example of such branching problem with the decomposition of the n-fold tensor product of holomorphic discrete series of SL2(R). This example will allows me to exhibit a link between this branching problem and the study of some orthogonal polynomials on the n-1 dimensional simplex.

**2022-05-24 at 13:15, MVL14 and Zoom**

Ivan TodorovIvan Todorov

*TBA***2022-06-02 at 15:15, MVL14 and Zoom (note: unusual time and day)**

John Griesmer (Colorado, Mines)John Griesmer (Colorado, Mines)

*TBA***2022-06-07 at 13:15, MVL14 and Zoom**

Klaus Kröncke (KTH)Klaus Kröncke (KTH)

*L^p-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds*We prove stability of integrable ALE manifolds with a parallel spinor under Ricci flow, given an initial metric which is close in $L^p\cap L^{\infty}$ for some $p\in (1,\infty), where n is the dimension of the manifold. In particular, our result applies to all known examples of 4-dimensional gravitational instantons. The result is obtained by a fixed point argument, based on novel estimates for the heat kernel of the Lichnerowicz Laplacian. It allows us to give a precise description of the convergence behaviour of the RIcci flow. Our decay rates are strong enough to prove positive scalar curvature rigidity in $L^p$ for each $p\in [1,\frac{n}{n-2})$, generalizing a result by Appleton. This is joint work with Oliver Lindblad Petersen.

**Previous seminars****2022-01-25 at 13:15, Zoom only**

Sabine Jansen (Munich)Sabine Jansen (Munich)

*Duality, intertwining and orthogonal polynomials for continuum interacting particle systems***2022-02-08 at 13:15, MVL14 and Zoom**

Tatiana Shulman (Göteborg)Tatiana Shulman (Göteborg)

*On almost commuting matrices***2022-02-15 at 13:15, (MVL14) and Zoom**

Sigurður Örn Stefánsson (University of Iceland)Sigurður Örn Stefánsson (University of Iceland)

*Stable shredded spheres and causal random maps with large faces***2022-02-15 at 14:15-15:15, MVL15 and Zoom**

Hannes Thiel (Kiel)Hannes Thiel (Kiel)

*The generator problem for C*-algebras***2022-03-01 at 13:15-14:15, MVL14 and Zoom**

Volodymyr Rybalko (Institute for Low Temperature Physics and Engineering, Ukraine)Volodymyr Rybalko (Institute for Low Temperature Physics and Engineering, Ukraine)

*Emergence of travelling waves and their stability in a free boundary model of cell motility***2022-03-08 at 13:15-14:15, MVL14 (and Zoom)**

Julian KranzJulian Kranz

*Amenable groupoids and the weak containment property***2022-04-05 at 13:15, MVL14 and Zoom**

Daniel Ueltschi (Warwick, UK)Daniel Ueltschi (Warwick, UK)

*Dimerisation in quantum spin chains***2022-04-12 at 13:15, MVL14 and Zoom; joint AP and CAM seminar**

Andreas Rosén (Göteborg)Andreas Rosén (Göteborg)

*Dirac Integral equations, plasmonics and eddy currents*