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DTSTART;TZID=America/New_York:20250303T150000
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DTSTAMP:20260410T183347
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SUMMARY:Quantum Field Theory and Physical Mathematics
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Kai Xu\, Harvard \nTitle: Finite Landscape of 6d N=(1\,0) Supergravity \nAbstract: We present a bottom-up argument showing that the number of massless fields in six-dimensional quantum gravitational theories with eight supercharges is uniformly bounded. Specifically\, we show that the number of tensor multiplets is bounded by T≤193\, and the rank of the gauge group is restricted to r(V)≤480. Given that F-theory compactifications on elliptic CY 3-folds are a subset\, this provides a bound on the Hodge numbers of elliptic CY 3-folds: h1\,1(CY3)≤491\, h1\,1(Base)≤194 which are saturated by special elliptic CY 3-folds. This establishes that our bounds are sharp and also provides further evidence for the string lamppost principle.
URL:https://cmsa.fas.harvard.edu/event/qft_3325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.3.25.png
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SUMMARY:Large value estimates in number theory and computer science
DESCRIPTION:Colloquium \nSpeaker: Larry Guth\, MIT \nTitle: Large value estimates in number theory and computer science \nAbstract: A large value estimate for a matrix M is a simple type of estimate in quantitative linear algebra. Estimates of this type appear in many parts of math\, both pure and applied. One example is the large value problem for Dirichlet polynomials from analytic number theory\, which is related to estimates about the zeroes of the Riemann zeta function. We will also give some examples from computer science. Many large value problems are difficult. On the pure math side\, the sharp conjecture about large values of Dirichlet polynomials has been open for a long time and is out of reach of current methods. On the computer science side\, we don’t know any efficient algorithm to approximately solve the large value problem for a given matrix M. Many experts think that such an algorithm does not exist. In this talk we will survey how large value estimates come up\, the known methods for working on them\, and some of the obstacles to fully understanding them. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-3325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-3.3.2025.png
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