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SUMMARY:Tushar Das (University of Wisconsin - La Crosse)
DTSTART:20210419T161500Z
DTEND:20210419T173000Z
DTSTAMP:20260423T022038Z
UID:NEDNT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/19/">U
 sing templates to study problems in dynamics and number theory</a>\nby Tus
 har Das (University of Wisconsin - La Crosse) as part of New England Dynam
 ics and Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nTemp
 lates may be viewed as a combinatorial device that helps study\nasymptotic
  properties of lattice successive minima. This simple idea\,\nintroduced i
 n joint work with Lior Fishman\, David Simmons\, and Mariusz\nUrbanski\, p
 romises to be useful in several areas beyond our current\napplications. Th
 e latter lie at the fertile interface along Dani’s\ncorrespondence princ
 iple between Diophantine approximation and\nhomogeneous flows\, deepened b
 y Kleinbock & Margulis\; and Schmidt &\nSummerer’s parametric geometry o
 f numbers\, deepened by Roy. Templates\nare at the heart of our variationa
 l principle (arXiv:1901.06602)\,\nwhich provides a unified framework to co
 mpute the Hausdorff and\npacking dimensions of a variety of sets of dynami
 cal and\nnumber-theoretic interest. We will introduce and give some flavor
  for\nour project\, hint at a few new directions\, and hope to present sev
 eral\nopen problems of varying depth to reward participants of this\nwonde
 rful seminar!\n
LOCATION:https://researchseminars.org/talk/NEDNT/19/
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