November 2, 1999 Arnold Seminar (16:20, room 14-14) Viktor Ya. Ivrii (University of Toronto) "Vse nachalos' s Weylya" Abstract: Vvedenie v teoriyu asimptotik sobstvennyh znachenij operatora Laplasa 1) Sobstvennye znacheniya v parallelepipede 2) Formula Vejlya dlya ogranichennyh oblastej i Dirichle-Neumann bracketting 3) Neogranichennye oblasti: kigda formula perestaet rabotat'? 4) Gipoteza Vejlya i ee obosnovanie i kontrprimery