**In addition to workshops, conferences, researcher schools, and other events in the UK and overseas, the members of the analysis group organize the department’s longest running research seminar series.**

## Upcoming and recent seminars

### Friday, January 27, 2023, at 3:00 p.m. in M104

#### Haakan Hedenmalm, University of Reading (Leverhulme Visiting Professor) and KTH

*Hyperbolic Fourier series*

### Tuesday, Feb 7, 2023, at 2:00 p.m.

#### Santeri Miihkinen, University of Reading

### Tuesday, Feb 28, 2023, at 4:00 p.m.

#### Sonia Fliss, ENSTA Paris

### Tuesday, April 4, 2023, at 4:00 p.m.

#### Iosif Polterovich, University of Montreal

## Past seminars

### Friday, January 20, 2023, at 3:00 p.m. in Palmer G04

#### Asma Hassannezhad, University of Bristol

*Applications of a possibly hidden symmetry to mixed Steklov problem on a surface*

The Steklov problem describes a vibrating free drum with its mass concentrated along the boundary. Its eigenvalue parameter appears in the boundary condition. We consider the interplay between mixed Steklov-Neumann and Steklov Dirichlet eigenvalues. We discuss how (possibly hidden) symmetries of the underlying domain can lead to extending classical isoperimetric inequalities for Steklov eigenvalues to mixed Steklov eigenvalues.

### Friday, December 2, 2022, at 12:00 p.m. in M212

#### Dmitry Jakobson, McGill University

*Spectra, Dynamics and Geometry*

We survey some classical and more recent results in

spectral theory, and discuss relations to geometry and dynamical systems

### Wednesday, November 9, 2022, at 3:00 p.m. in M113

#### Sugata Mondal, University of Reading

*Topological and geometric properties of Laplace eigenfunctions*

In this talk I will provide a brief overview of a series of conjectures and questions relating to topology and geometry of level sets of Laplace eigenfunctions on domains and on manifolds.

### Friday, November 4, 2022, at 12:00 p.m. in M212

#### Nicholas Alikakos, University of Athens

*On the triple junction in the plane without a priori symmetry hypotheses*

The Triod is the unique singular minimal cone on the plane. It provides a minimal partition {D1,D2,D3} of the plane in three parts. Minimality is related to a classical result of Steiner which states that given three points A,B,C, such that the corresponding triangle has no angle equal or greater than 120 degrees, then if the point P minimizes the sum of the distances |P-A|+|P-B|+|P-C|, the line segments PA,PB,PC form 120 degree angles. An outstanding open problem in the mathematical theory of phase transitions is to establish the diffused interface analog of the triode under no a priori symmetry hypotheses on the solution.

In this talk I will introduce the problem and discuss the 1996 solution of Bronsard, Gui, and Schatzman in the CPAM in the equivariant class of the symmetries of the equilateral triangle, and then present some recent joint work with Zhiyuan from BCAM without symmetry assumptions.

## Past Seminars

Friday 21 January, 16:00, Zoom link This talk is based on joint works with Bernard Helffer. Let $[0,\infty[ \ni t \to S(t)$ be a semigroup of bounded operators on a…Read More >

Friday 25 February, 16:00 – 17:00, Slingo Theatre I will discuss the spectral theory of a family of infinite number-theoretic matrices, whose (n,m)’th entry involves the least common multple of…Read More >

Friday 4 March, 12:00 – 13:00, M113 In this talk we discuss minimisation problems in $L^\infty$ for general quasiconvex first order functionals, where the class of admissible mappings is constrained…Read More >

Friday 11 March 2022, 16:00 – 17:00, M108 In this talk I will start with an elementary introduction of group actions on the Hyperfinite II_1 factor and their classification results…Read More >

Tuesday, April 12 2022, 10:00 – 11:00, M113 One of the central topics in the theory of Beurling generalized primes is the relationship between the counting function of the generalized…Read More >

Friday April 22 2022, 16:00 – 17:00, M314 (Special Analysis Seminar) The celebrated Pólya’s conjecture (1954) in spectral geometry states that the eigenvalue counting functions of the Dirichlet and Neumann…Read More >

Friday 6 May 2022, 16:00 – 17:00, M314 We start with a compact Kahler manifold that one can consider as a phase space of a classical dynamical system. We define…Read More >

Wednesday 20 July 2022, 16.00 – 17.00, M212 When Sarason initiated the study of truncated Toeplitz operators in 2007 he posed the question, does every bounded truncated Toeplitz operator have…Read More >