Spectral geometry in the clouds
Intergalactic seminar on spectral theory and geometric analysis
To attend, please contact one of the organizers:
Alexandre Girouard (Université Laval) Jean Lagacé (University of Bristol)

Each monday

9h PST -- 12h EST -- 17h BST -- 18h CEST

Reference material Open problems Statement of inclusiveness Permission to record

Most talks are recorded and shared some weeks later on the CRM Youtube Channel.


Fall 2021 calendar
December
December 13

Rafe Mazzeo
TBA

December 6

Jean-Claude Cuenin
TBA

November
November 29

David Sher
TBA

November 22

Michael Magee
TBA

November 15

Ben Sharp
TBA

November 8

Sabine Boegli
TBA

November 1

Jonathan Rohleder
Note the change of time this week: 9h PST -- 12h EST -- 16h GMT -- 17h CET
A new approach to the hot spots conjecture

October
October 25

Valentin Blomer
Eigenvalue statistics of flat tori

October 18

Daniel Stern
Note the change of time this week: 8h PST -- 11h EST -- 16h BST -- 17h CEST
Steklov-maximizing metrics on surfaces with many boundary components

October 11

Break

October 4

Philippe Charron
Pleijel's theorem for Schrödinger operators

September
September 27

Gabriel Rivière
Poincaré series and linking of Legendrian knots

September 20

Martin Vogel
Spectral asymptotics of noisy non-selfadjoint operators

September 13

Young researchers in spectral geometry III
3 short talks

September 6

Nalini Anantharaman
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization

August
August 30

Jürgen Jost
Spectra of graphs and hypergraphs

August 23

Wencai Liu
Small denominators and large numerators of quasiperiodic Schroedinger operators
Video




Spring and summer 2021 calendar
August
August 2, 9 and 16: break
July
July 26

Victor Ivrii
Pointwise Spectral Asymptotics out of the Diagonal
Video

July 19

Yannick Sire
Eigenfunction and cluster estimates for Schrodinger operators on manifolds
Video

July 12

Derek Kielty
Degeneration of the spectral gap with negative Robin parameter
Video

July 5

Steve Zelditch
Eigenfunction restriction problems
Video

June
June 28

Ari Laptev
Spectral inequalities for Jacobi matrices following Hundertmark and Simon
Video

June 21

Paolo Luzzini
On the spectral asymptotics for the buckling problem
Video

June 14

Javier Gómez-Serrano
Computer-assisted proofs and counterexamples in spectral geometry
Video

June 7

Mikhail Karpukhin
Stability of isoperimetric eigenvalue inequalities
Video

May
May 31

Maciej Zworski
Spectral theory of internal waves in fluids
Video

May 24

Genqian Liu
Geometric invariants of spectrum of the Navier-Lame operator
Video

May 17

Alexandre Girouard
Free boundary minimal surfaces and large Steklov eigenvalues
Video

May 10

Ram Band
Neumann domains on manifolds and graphs
Video

May 3

Jared Wunsch
Semiclassical analysis and the convergence of the finite element method
Video




Winter 2021 calendar
April
April 26

Karl-Mikael Perfekt
Infinitely many embedded eigenvalues for the Neumann-Poincaré operator in 3D
Video

April 19

Bernard Helffer
Semi-classical edge states for the Robin Laplacian (after Helffer-Kachmar)
Video

April 12

Svitlana Mayboroda
The landscape law for the integrated density of states
Video

April 5

Break

March
March 29

Mariel Saez
Eigenvalue bounds for the Paneitz operator and its associated boundary operator
Video

March 21 and 22

Mini Conference
Young researchers in spectral geometry II

March 15

Nilima Nigam
The approximation of Laplace Steklov eigenvalues
Video

March 8

Graham Cox
Nodal deficiency via equipartitions and Dirichlet-to-Neumann maps
Video

March 1

Grigori Rozenblum
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case
Video

February
February 22

Peter Kuchment
Spectral shift via lateral variation
Video

February 15

Uzy Smilansky
Can one hear a matrix?
The determination of a real symmetric matrix from spectral information

February 8

Alessandro Carlotto
Free boundary minimal surfaces with connected boundary and arbitrary genus

February 1

Luigi Provenzano
Spectral representation of the trace spaces of H² and biharmonic Dirichlet problems for multi-parameter Steklov problems
Video

January
January 25

Zeev Rudnick
Robin vs Neumann spectra for planar domains

January 18

Pavel Exner
Discrete spectrum of Dirichlet Laplacian in spiral-shaped regions
Video

January 11

Olaf Post
Operator estimates for wildly perturbed manifolds
Video




Fall 2020 calendar
December
December 14

Marco Marletta
A Laplace operator with boundary conditions singular at one point
Video

December 7

Simon Larson
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
Video

November
November 30

Édouard Oudet
Metric Optimization in Spectral geometry
Video

November 23

Peter Sarnak
Gap Sets for the Spectra of Cubic Graphs
Video

November 16

Katie Gittins
Upper bounds for Steklov eigenvalues
Video

November 9

Jeffrey Galkowski
The interior behavior of Steklov eigenfunctions
Video

November 2

Stefano Decio
Nodal sets of Steklov eigenfunctions near the boundary
Video

October
October 26

Christiane Tretter   
Spectral problems on star graphs
Video

October 19

Antoine Henrot
Isodiametric inequalities for eigenvalues
Video

October 12

Sugata Mondal   
Hot spots conjecture for polygonal domains
Video

October 5

Richard Laugesen
Two balls maximize the third Neumann eigenvalue in hyperbolic space
Video Slides

September
September 28

Jeremy Marzuola
A local test for global extrema in the dispersion relation for periodic graphs
Video

September 21

Davide Buoso
The Bilaplacian with Robin boundary conditions
Video

September 14

Alix Deleporte
Semiclassical analysis of a problem with a circular well
Video

September 7

Jean Lagacé
Measure theoretic methods in spectral shape optimisation
Video

August
August 31

Gerasim Kokarev
Comparison principles, minimal surfaces, and eigenvalue inequalities




Spring and summer 2020

August 24

Special seminar on the occasion of Dima Jakobson's 50th birthday

August 3 and 4

Mini Conference: Young researchers in spectral geometry

July
July 27

Julie Rowlett
Same-same but different: Polyakov formulas via microlocal analysis and mathematical physics
Video

July 20

Asma Hassannezhad
Eigenvalue bounds for the mixed Steklov problem
Video

July 13

Panagiotis Polymerakis
Bottom of spectra and coverings

July 6

Rupert Frank
Sharp Weyl Laws in 3d with rough potentials
Slides Video

June
June 29

Daniel Stern
Min-max harmonic maps and extremal metrics for Laplacian eigenvalues
Slides Video

June 22

Stefan Steinerberger
Nodal Sets of Eigenfunctions: Progress via Optimal Transport
Slides Video

June 15

Cristina Trombetti
Sharp Estimates for solutions to Elliptic Equations with Robin boundary conditions
Video

June 8

Peter Humphries
The random wave conjecture and arithmetic quantum chaos
Slides Video

June 1

Xuwen Zhu
Spectral properties of reducible spherical conical metrics
Video

May
May 25

Iosif Polterovich
Lambdas, bubbles, and spheres
Slides Video

May 18

Yaiza Canzani
\(L^p\)-norms via geodesic beams.
Video

May 11

Henrik Matthiesen
Asymptotic behaviour of eigenvalues in glueing constructions and new minimal surfaces via shape optimization
Notes Video

May 4

Dorin Bucur
Stable and unstable spectral inequalities
Video

April
April 27

Emilio Lauret
On the first Laplace eigenvalue of a homogeneous sphere
Slides

April 20

Michael Levitin
Inverse Steklov spectral problem for curvilinear polygons
Slides