Analysis & Probability Seminar at Chalmers / GU

The seminar is joint for the division of Analysis and Probability within the Department of Mathematics at Chalmers / GU. Its main themes include: Probability Theory, Mathematical Physics, Operator Algebras and Harmonic and Functional Analysis.

Should you have any questions or suggestions, feel free to email one of the organizers Jakob Björnberg (jakobbj 'at' chalmers.se), Simon Larson (larsons 'at' chalmers.se) or Eduard Vilalta (vilalta 'at' chalmers.se).

Instructions for invited speakers:

The seminar caters to a broad audience in analysis and probability. We thus urge speakers to make the first 10-15 minutes of the talk very introductory, aimed at first-year graduate students. The total time for the seminar is 50 minutes plus 10 minutes for questions.

Coming seminars

2025-09-09 at 14:15, MVL14

Alejandro Rodriguez Sponheimer (Lund)

Dynamical Strong Borel--Cantelli Lemmas for Recurrence

A fundamental result in dynamical systems is the Poincar\'e Recurrence Theorem, which states that, for a measure-preserving dynamical system, almost every point is recurrent. That is, almost every point returns infinitely often to a shrinking neighbourhood of its initial position. Although the theorem is striking in that it offers a strong qualitative conclusion under minimal assumptions, it leaves open the question of quantitative recurrence. For example, can one say something about how quickly the neighbourhoods may shrink, or about the rate at which the point returns to its initial position?

In this talk, I will present dynamical strong Borel--Cantelli lemmas (a sort of non-autonomous strong law of large numbers) that give precise asymptotic formulas for the rate of recurrence in terms of the measures of the shrinking neighbourhoods. The proofs boil down to a second moment analysis in which we use decay of correlations estimates -- a standard tool in establishing statistical laws for dynamical systems.

This talk is based on joint work with Tomas Persson.

2025-09-16 at 13:15, MVL14

Martino Lupini (Bologna, Italy)

Phantom invariants in analysis

In this talk I will explain how algebraic invariants can be enriched with additional "complexity-theoretic" information. This approach allows one to "extract" from such invariant a whole sequence of new "phantom" invariants indexed by countable ordinals. These new invariants allow us to obtain finer classification results, which measure how difficult it is to build the objects under considerations starting from some "elementary" building blocks.

I will focus on applications on the theory of operator algebras and C*-dynamics, considering invariants such as the Picard group, the outer automorphism group, (Banach algebra) cohomology, and Kasparov's KK-theory. I will also explain how the phantom invariants extracted from each of these yields a corresponding notion of "length". This is yet another (ordinal-valued) invariant, which can be seen as a measure of complexity. For instance, the length associated with the automorphism group can be seen as a "measure of noncommutativity" of a C*-algebra, and correspond to the complexity of determining whether a given automorphism is inner. The problem of computing this and other notions of length vastly generalizes several classical problems in analysis, such as the problem of determining when inner automorphisms are closed in the topology of pointwise or uniform convergence.

2025-09-23 at 13:15, MVL14

Ryan L. Acosta Babb (Warwick, UK)

TBA

2025-09-30 at 13:15, MVL14

Ebrahim Samei (Saskatchewan, Canada)

TBA

2025-10-07 at 13:15, MVL14

I-Kun Chen (National Taiwan University, Taiwan)

On the existence and regularity of weakly nonlinear stationary Boltzmann equations: a Fredholm alternative approach

The celebrated Fredholm alternative theorem works for the setting of identity compact operators. This idea has been widely used to solve linear partial differential equations. In this article, we demonstrate a generalized Fredholm theory in the setting of identity power compact operators, which was suggested in Cercignani and Palczewski to solve the existence of the stationary Boltzmann equation in a slab domain. We carry out the detailed analysis based on this generalized Fredholm theory to prove the existence theory of the stationary Boltzmann equation in bounded three-dimensional convex domains. To prove that the integral form of the linearized Boltzmann equation satisfies the identity power compact setting requires the regularizing effect of the solution operators. Once the existence and regularity theories for the linear case are established, with suitable bilinear estimates, the nonlinear existence theory is accomplished. This talk is based on a collaborative work with Daisuke Kawagoe and Chun-Hsiung Hsia.

2025-10-21 at 13:15, MVL14

Moritz Schauer (Chalmers/GU)

TBA

2025-11-11 at 13:15, MVL14

Tatiana Shulman (Chalmers/GU)

TBA

2025-11-18 at 13:15, MVL14

Gábor Szabó (KU Leuven)

TBA

Previous seminars

2024-01-23 at 13:15, MVL14

Ulrik Enstad (Oslo)

Classifiability of C*-algebras associated with point sets

2024-01-30 at 13:15, MVL14

Pieter Spaas (Copenhagen)

Local Hilbert-Schmidt stability

2024-02-07 at 13:15, MVL15 -- NOTE UNUSUAL DAY & PLACE

Lashi Bandara (Deakin University, Melbourne)

Trace, Regularity, Fredholmness: the story of non-compact boundary for first-order elliptic operators

2024-02-13 at 13:15, MVL14

Johan Wästlund (Chalmers/GU)

Billiards, Checkers, and Quadratic Reciprocity

2024-02-20 at 13:15, MVL14

Shrish Parmeshwar (Warwick, UK)

Global-in-time Vortex Configurations for the 2D Euler Equations

2024-02-27 at 13:15, MVL14

Eduard Vilalta (Chalmers/GU)

Nowhere scattered multiplier algebras

2024-03-05 at 13:15, MVL14

Are Austad (Syddansk Universitet, Odense)

Ideal intersection properties for group-graded Banach *-algebras

2024-03-12 at 13:15, MVL14

Peter Sjögren (Chalmers/GU)

Variation inequalities for the Ornstein-Uhlenbeck semigroup

2024-03-14 at 13:15, MVL14 -- NOTE UNUSUAL DAY (Thursday)

Erik Duse (KTH)

Generic ill-posedness of the energy-momentum equations in the vectorial calculus of variations

2024-03-20 at 13:15, MVL15 -- NOTE UNUSUAL DAY (Wednesday)

Tobias Weich (Paderborn)

Polyhedral bounds on the joint spectrum on higher rank locally symmetric spaces

2024-04-02 at 13:15, MVL14

Malin Palö Forsström (Chalmers/GU)

Poisson coverage processes

2024-04-10 at 13:15, MVL15 -- NOTE UNUSUAL DAY (Wednesday)

David Rule (Linköping)

Multilinear and Weighted Estimates for Oscillatory Integral Operators

2024-04-16 at 13:15, MVL14

Eric Ling (Copenhagen)

Rigidity aspects of Penrose's singularity theorem

2024-04-23 at 13:15, MVL14

Håkan Andreasson (Chalmers/GU)

Existence of a minimizer to the particle number-Casimir functional for the Einstein-Vlasov system

2024-04-30 at 13:15, MVL14

Robin van Haastrecht (Chalmers/GU)

Limit formulas for the trace of the functional calculus of quantum channels for $SU(2)$

2024-05-07 at 13:15, MVL14

Søren Fournais (Copenhagen)

On the ground state energy of the dilute Bose gas

2024-05-21 at 13:15, MVL14

Hedong Hou (Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay)

Well-posedness for parabolic Cauchy problems with distributional initial data

2024-05-28 at 13:15, MVL14

Wojciech Szymanski (Syddansk Universitet)

Cuntz algebras and the Thompson groups

2024-05-28 at 15:15, MVL14 (EXTRA SEMINAR, UNUSUAL TIME)

Frank Thuijsman (Maastricht University)

Game Theory, from John von Neumann to Treatment of Cancer

2024-05-29 at 15:15, MVL14 (EXTRA SEMINAR, UNUSUAL TIME)

Alessandro Bravetti (Universidad Nacional Autónoma de México)

From Fisher to Fisher: using Fisher information to understand Fisher's Fundamental Theorem of Natural Selection

2024-06-11 at 13:15, MVL14

Jorge Castillejos (UNAM, Cuernavaca)

2024-06-11 at 14:30, MVL14 (EXTRA SEMINAR, UNUSUAL TIME)

Mizanur Rahaman (ENS, Lyon)

Quantum Stein's Lemma and subalgebra entropies

2024-06-18 at 13:15, MVL14

Leif Arkeryd (Chalmers/GU)

On Boltzmann type equations with discrete velocities

2024-08-27 at 13:15, MVF23 (note unusual room)

Khalid Koufany (Université de Lorraine, Nancy, France)

A characterization of the $L^2$-range of the generalized spectral projections related to the Hodge-de Rham Laplacian

2024-09-10 at 13:15, MVL14

Hannes Thiel (Chalmers/GU)

Pure C*-algebras

2024-09-17 at 13:15, MVL14

Cécile Mailler (Bath, UK)

A two-table theorem for a disordered version of the Chinese restaurant process (CRP)

2024-09-19 at 13:15, MVL14 (extra seminar, unusual day)

Andreas Rosén (Chalmers / GU)

Coerciveness and Morrey inequalities for elliptic operators with natural boundary conditions via Weitzenböck identities

2024-09-24 at 13:15, MVL14

Jonathan Breuer (Hebrew University of Jerusalem / Mittag-Leffler)

Towards a Floquet Theory for Periodic Jacobi Matrices on Trees

2024-10-15 at 13:15, MVL14

Tomas Berggren (KTH)

Crystallization of the Aztec diamond

2024-10-22 at 13:15, MVL15 (note unusual room)

Emilie Elkiær (Oslo)

Symmetrized pseudofunction algebras from L^p-representations and amenability of locally compact groups

2024-11-05 at 13:15, MVL14

Alexander Müller-Hermes (Oslo)

Monogamy of entanglement in quantum theory and beyond

2024-11-07 at 13:15, MVL14 (extra seminar, unusual time)

Erik Broman (Chalmers/GU)

Phase transitions of semi-scale invariant Poissonian random fractals

2024-11-12 at 13:15, MVL14

Alistair Miller (SDU, Denmark)

Homology and K-theory for self-similar group actions

2024-11-19 at 13:15, MVL14

Terry Soo (UCL, UK)

Some variants of the Sinai factor theorem

2024-11-20 at 13:15, MVL15 -- NOTE UNUSUAL DAY (Wednesday) and room

Fatma Ayça Cetinkaya (Mersin University, Turkey)

NSBF Method for an Inverse Sturm--Liouville Problem

2024-11-26 at 13:15, MVL14

Mathias Palmstrøm (NTNU, Norway)

Rigidity of Lp-operator algebras associated with ample groupoids

2024-12-03 at 13:15, Euler (note unusual room)

Damian Osajda (Copenhagen)

Burnside groups and Kazhdan’s property (T)

2024-12-10 at 13:15, MVL14

Kaj Nyström (Uppsala)

Caloric Measure and Parabolic Uniform Rectifiability

2024-12-17 at 13:15, MVL14

Lorents Landgren (Chalmers/GU)

Identifying most reliable graphs

2024-12-20 at 10:00, MVL14

Lashi Bandara (Deakin University)

Geometric singularities and Hodge theory

2025-01-21 at 13:15, MVL14

Ulrik Thinggaard Hansen (Copenhagen)

Universality of the Large-Scale Geometry for Planar Critical Random-Cluster Models

2025-01-28 at 13:15, MVL14

Peter Sjögren (Chalmers/GU)

Variational inequalities for the Ornstein--Uhlenbeck semigroup in higher dimensions

2025-02-11 at 13:15, MVL14

Emilie Elkiær (Oslo)

Symmetrized pseudofunction algebras from L^p-representations and amenability of locally compact groups

2025-02-18 at 13:15, MVL14

Robin van Haastrecht (Chalmers/GU)

Wehrl-type inequalities for the holomorphic discrete series

2025-02-25 at 13:15, MVL14

Sascha Troscheit (Uppsala)

Fractal percolation, dimensions, connected components, and other recent progress

2025-03-04 at 13:15, MVL14

Mikhail Menshikov (Durham, UK)

Dynamics of finite and semi-infinite particle systems with exclusion interaction

2025-03-11 at 13:15, MVL14

Fredrik Viklund (KTH) -- joint AP and KASS seminar

Free energy of planar Coulomb gases

2025-03-18 at 13:15, MVL14

David Jekel (Copenhagen)

Upgraded free independence relations for random unitaries

2025-03-25 at 13:15, MVL14

Sanaz Pooya (Potsdam)

K-Theory of higher Kazhdan projections and applications to delocalised L2-Betti numbers

2025-04-22 at 13:15, MVL14

Rostyslav Kozhan (Uppsala)

Multiple orthogonal polynomials on the unit circle and the Hermite-Pade approximation

2025-04-29 at 13:15, Euler

Kristin Courtney (SDU, Denmark)

At the limit of matrix algebras

2025-05-06 at 13:15, MVL14

Lyudmila Turowska (Chalmers/GU)

Self-testing: an operator algebraic approach

2025-05-13 at 13:15, MVL14

Dragu Atanasiu (Borås)

The moment problem on compact sets of characters

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