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X-WR-TIMEZONE;VALUE=TEXT:Europe/Zurich
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DTSTAMP:20260922T165221Z
UID:e5f994fd-3384-48cb-a555-fed86d2914da
DTSTART:20260924T140000
DTEND:20260924T153000
DESCRIPTION:We will consider Lq bounds for spectral clusters\n(linear combi
 nations of eigenfunctions) of the Laplace-Beltrami\noperator on a compact 
 manifold. These bounds are classical for a single\ncluster. We will consid
 er N orthonormal clusters and seek bounds on the\nLq norm of their density
 . The main challenge is to obtain an optimal\ndependence on N. Results of 
 this type have applications to many body\nquantum mechanics\, Schrodinger 
 operators with complex potentials and to\nKakeya-type problems. The talk i
 s based on joint work with Nhi Nguyen\nand Xiaoyan Su.
LOCATION:ETH Zürich\, Hönggerberg HIT E 41.1
ORGANIZER:Jean-Claude Cuenin
SUMMARY:Spectral cluster bounds for orthonormal functions
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