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BEGIN:VEVENT
SUMMARY:Maryna Viazovska (École Polytechnique Fédérale de Lausanne)
DTSTART:20210616T141500Z
DTEND:20210616T151500Z
DTSTAMP:20260415T024244Z
UID:Azat/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Azat/1/">Sph
 ere packings\, universal optimality\, and Fourier interpolation</a>\nby Ma
 ryna Viazovska (École Polytechnique Fédérale de Lausanne) as part of Az
 at Miftakhov Day\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Azat/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Bufetov (CNRS & Institut Institut de Mathématiques de M
 arseille & Steklov\, IITP RAS)
DTSTART:20210616T151500Z
DTEND:20210616T161500Z
DTSTAMP:20260415T024244Z
UID:Azat/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Azat/2/">Det
 erminantal point processes: quasi-symmetries\, minimality\, and interpolat
 ion</a>\nby Alexander Bufetov (CNRS & Institut Institut de Mathématiques 
 de Marseille & Steklov\, IITP RAS) as part of Azat Miftakhov Day\n\n\nAbst
 ract\nWhat is the relation between a determinantal point process and the H
 ilbert space that governs it?  For the sine-process of Dyson\, almost ever
 y realization with one particle removed is a complete and minimal set for 
 the Paley-Wiener space\, while if two particles are removed\, then one obt
 ains azero set for the Paley-Wiener space.  Quasi-invariance of the sine-p
 rocess under compactly supported diffeomorphisms plays a key role.  In joi
 nt work with Qiu\, the Patterson-Sullivan construction is used to interpol
 ate Bergman functions from the zero set of a random series with independen
 t complex Gaussian entries.  The determinantal property\, due to Peres and
  Virg\, and the invariance of the zero set under the isometries of the Lob
 achevsky plane play a key role.\n
LOCATION:https://researchseminars.org/talk/Azat/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Scholze (Universität Bonn)
DTSTART:20210616T161500Z
DTEND:20210616T171500Z
DTSTAMP:20260415T024244Z
UID:Azat/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Azat/3/">Con
 densed mathematics</a>\nby Peter Scholze (Universität Bonn) as part of Az
 at Miftakhov Day\n\n\nAbstract\n(Joint with Dustin Clausen)  It is a well-
 known problem that topological spaces have no good categorical properties 
 – for example\, topological abelian groups do not form an abelian  categ
 ory\, and in a complex of topological vector spaces\, differentials may no
 t have closed image\, leading to pathological cohomology groups.  However\
 , we realized that one can replace topological spaces by the closely relat
 ed notion of condensed sets\, resolving all of these foundational problems
 .  This makes it possible to develop new foundations for both nonarchimede
 an and archimedean functional analysis\, even allowing a very general form
 alism of analytic spaces - encompassing complex manifolds\, real manifolds
  of all flavours\, schemes\, formal schemes\, rigid-analytic varieties\, a
 nd adic spaces into one unified framework.  We will try to give an overvie
 w of these ideas.\n
LOCATION:https://researchseminars.org/talk/Azat/3/
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