Workshop on spectral theory and geometry
Institut de mathématiques de Neuchâtel
June 3-7, 2013
Room B013



Program

Monday, June 3
Mini-courses
09:30-10:00 Arrival and welcoming of PhD students
10:00-12:00

Iosif Polterovich
Introduction to spectral geometry I

12:00-13:30 Lunch Break
13:30-15:00 Exercices session
15:00-16:00 Coffee Break and registration of participants
16:00-17:00

Michiel van den Berg
Heat content and Hardy inequality I

17:15-18:15

Pierre Jammes
Some spectral applications of metric surgeries I (PDF)



Tuesday, June 4

Mini-courses
9:00-11:00

Iosif Polterovich
Introduction to spectral geometry II

11:00-11:30 Coffee Break
11:30-12:30

Michiel van den Berg
Heat content and Hardy inequality II

12:30-14:00 Lunch Break
14:00-15:00

Pierre Jammes
Some spectral applications of metric surgeries II


Research talks
15:15-16:05

Alessandro Savo
Hypersurfaces with constant heat flow

16:05-16:35 Coffee Break
16:35-16:55

Filippo Cerocchi
A spectra comparison theorem

17:00-17:20

Guillaume Poliquin
Bounds on the Principal Frequency of the p-Laplacian (PDF)



Wednesday, June 5
Research talks
9:30-10:20

Dorin Bucur
Spectral optimisation problems by free boundary methods

10:20-10:50 Coffee Break
10:50-11:40

Simon Raulot
The Dirac operator on untrapped surfaces

11:50-12:10

Raveendran Binoy
Steklov problem (PDF)

12:10-13:30 Lunch Break
13:30-14:20

David Sher
Heat invariants of the Steklov eigenvalue problem

14:30-15:20

Richard Laugesen
Sharp Estimates on the Magnetic Spectrum of Plane Domains (PDF)

Free evening Depending on the weather, some activities will be suggested.


Thursday, June 6
Research talks
9:30-10:20

Mikhail Karpukhin
Extremal metrics on torus and Klein bottle (PDF)

10:20-10:50 Coffee Break
10:50-11:40

Asma Hasannezhad
Upper bounds for eigenvalues of perturbed Laplace operators (PDF)

11:50-12:10

Guillaume Roy-Fortin
Optimization of Neumann eigenvalues (PDF)

12:10-14:30 Lunch Break
14:30-15:20

Philippe Castillon
Spectral positivity on surfaces

15:30-16:20

Gerasim Kokarev
Eigenvalue problems on Riemannian surfaces with measures

16:30-17:20

Amandine Berger
Optimization of the eigenvalues of the Euclidean Laplacian in two and three dimensions (PDF)

19:00

Conference dinner
La taverne Neuchâteloise



Friday, June 7
Research talks
9:30-10:20

Ahmad El Soufi
Bounding the eigenvalues of Laplace-Beltrami operators and Witten Laplacians on Riemannian manifolds

10:20-10:50 Coffee Break
10:50-11:40

Erwann Aubry
Euclidean Hypersurfaces with large fundamental tone

11:50-12:40

Pedro Freitas
Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds