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SUMMARY:Professor Larry Guth (MIT Mathematics)
DTSTART:20210707T180000Z
DTEND:20210707T190000Z
DTSTAMP:20260422T212603Z
UID:MIT_Mathematics/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MIT_Mathemat
 ics/1/">Focusing waves and combinatorics of lines</a>\nby Professor Larry 
 Guth (MIT Mathematics) as part of SPUR / RSI Lectures\n\n\nAbstract\nSolut
 ions of the wave equation model sound waves\, light waves\, etc.  Focusing
  refers to the amplitude getting very large in a small region of space.  E
 stimating how much waves can focus is a problem in real analysis.  Over th
 e last 25 years\, mathematicians have approached this problem using ideas 
 from combinatorics about the intersection patterns of lines.  The story in
 volves parts of math that sound rather far from PDE\, such as some topolog
 y and some finite fields.  In this talk\, we will begin with a gentle intr
 oduction to waves and the wave equation\, and then describe how ideas from
  some of these other fields come into play.\n\nzoom link:  https://mit.zoo
 m.us/j/93882149522\n
LOCATION:https://researchseminars.org/talk/MIT_Mathematics/1/
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SUMMARY:Alexei Borodin (MIT Mathematics)
DTSTART:20210721T180000Z
DTEND:20210721T190000Z
DTSTAMP:20260422T212603Z
UID:MIT_Mathematics/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MIT_Mathemat
 ics/2/">Domino tilings of the Aztec diamond</a>\nby Alexei Borodin (MIT Ma
 thematics) as part of SPUR / RSI Lectures\n\n\nAbstract\nThe talk is a sur
 vey of one of the most beautiful solvable probabilistic models and its rel
 ations with other fields - interacting particle systems\, random interface
 s in 3d\, and random matrices.\n
LOCATION:https://researchseminars.org/talk/MIT_Mathematics/2/
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SUMMARY:Lisa Sauermann (MIT Mathematics)
DTSTART:20210804T180000Z
DTEND:20210804T190000Z
DTSTAMP:20260422T212603Z
UID:MIT_Mathematics/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MIT_Mathemat
 ics/3/">On the cap-set problem and the slice rank polynomial method</a>\nb
 y Lisa Sauermann (MIT Mathematics) as part of SPUR / RSI Lectures\n\n\nAbs
 tract\nIn 2016\, Ellenberg and Gijswijt made a breakthrough on the famous 
 cap-set problem\, which asks about the maximum size of a subset of \\mathb
 b{F}_3^n not containing a three-term arithmetic progression. They proved t
 hat any such set has size at most 2.756^n. Their proof was later reformula
 ted by Tao\, introducing what is now called the slice rank polynomial meth
 od. This talk will explain Tao's proof of the Ellenberg-Gijswijt bound for
  the cap-set problem\, and discuss some related problems.\n\nzoom link:  h
 ttps://mit.zoom.us/j/93882149522\n\nAlso\, our big wrap-up SPUR Conference
  will be held next Friday\, August 6\, where our SPUR/SPUR+ students will 
 report on their summer's work.  More details on that to follow next week..
 .\n
LOCATION:https://researchseminars.org/talk/MIT_Mathematics/3/
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