CUSO mini-courses + Workshop on geometric spectral theory

Institut de mathématiques de Neuchâtel
June 19-23, 2017
Auditorium AUM

The institute is part of the Faculté des Sciences.
See map here.



Program

Monday, June 19
	CUSO Mini-Courses (part 1)
8:30-9:00	Arrival and welcoming of PhD students
9:00-10:30	N. Peyerimhoff Cheeger and Buser inequalities for magnetic Laplacians on graphs and manifolds I
10:30-11:00	Coffee Break
11:00-12:30	A. Savo Overdetermined PDE's in Riemannian Geometry I Slides: 1, 2, 3.
12:30-14:00	Lunch Break
14:00-15:30	N. Peyerimhoff Cheeger and Buser inequalities for magnetic Laplacians on graphs and manifolds II
	Workshop on spectral theory and geometry
15:30-16:00	Coffee Break and registration of participants
16:00-16:50	P. Freitas Asymptotic behaviour of extremal domains for Laplace eigenvalues Slides
17:00-17:25	K. Gittins Asymptotic behaviour of cuboids optimising Laplacian eigenvalues Slides
17:30-17:55	C. Lena Generalizations of Pleijel’s nodal domain theorem Slides

Tuesday, June 20
	CUSO Mini-Courses (part 2)
8:45-10:15	A. Savo Overdetermined PDE's in Riemannian Geometry II
	Workshop on spectral theory and geometry
10:15-10:45	Coffee Break
10:45-11:35	E. Dryden The Steklov problem on orbisurfaces
11:45-12:10	D. Cianci Large gaps for Steklov eigenvalues under fixed boundary constraints
12:10-13:30	Lunch break
13:30-14:20	L. Provenzano Geometric bounds for Steklov eigenvalues Slides
14:30-15:20	R. Petrides Maximizing the Steklov eigenvalues on a surface
15:20-16:00	Coffee break
16:00-16h50	B. Helffer Inequalities for the lowest magnetic Neumann eigenvalue in a planar domain (after Fournais-Helffer) Slides
17:00-17:25	M. Karpukhin Dirichlet-to-Neumann operators on differential forms Slides
17:30-17:55	J. Lagacé The Steklov spectrum of hyperrectangles
19:30-???	Conference dinner (Fondue à la Taverne Neuchâteloise)

Wednesday, June 21
9:30-10:20	M. van den Berg Spectral bounds for the torsion function
10:20-11:00	Coffee break
11:00-11:50	H. Matthiesen Existence of metrics maximizing the first eigenvalue on closed surfaces
11:50-13:00	Lunch Break
13:00-14:30	Discussion and open problems
From 14:30	Free afternoon Suggested activities

Thursday, June 22
9:00-9:50	U. Hamenstädt The first non-zero eigenvalue of closed hyperbolic three-manifolds
10:00-10:50	A. Hassannezhad Steklov eigenvalues and higher order Cheeger type inequalities
10:50-11:30	Coffee break
11:30-11:55	F. Ferraresso Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on planar dumbbell domains Slides
12:00-12:25	D. Buoso Eigenvalues of free plates
12:25-14:00	Lunch break
14:00-14:50	D. Bucur Optimal shapes maximizing the Steklov eigenvalues Slides
15:00-15:50	J. Kennedy Shape optimisation for the Robin Laplacian: an overview Slides
15:50-16:20	Coffee break
19:00-???	Conference dinner (Restaurant Le Silex)

Friday, June 23
9:00-9:50	A. Penskoi Isoperimetric inequality for the second non-zero eigenvalue and new bounds on multiplicities of eigenvalues of the Laplace-Beltrami operator on the real projective plane Slides
10:00-10:50	I. Polterovich Sloshing, Steklov and corners
10:50-11:30	Coffee break
11:30-12:20	J.F. Grosjean Geometry of the boundary of almost isoperimetric domains and application to the stability of Chavel's inequality
12:30-13:30	Lunch break