ACO Seminar - Colin Tang September 26, 2024 3:00pm — 4:00pm Location: In Person - Wean Hall 8220 Speaker: COLIN TANG, Ph.D. Student, Department of Mathematical Sciences, Carnegie Mellon University https://www.math.cmu.edu/~cstang/ Simplex slicing: an asymptotically-sharp lower bound We show that for the regular n-simplex, the 1-codimensional central slice that's parallel to a facet will achieve the minimum area (up to a 1-o(1) factor) among all 1-codimensional central slices, thus improving the previous best known lower bound (Brzezinski 2013) by a factor of 2sqrt(3)/e≈1.27. In addition to the standard technique of interpreting geometric problems as problems about probability distributions and standard Fourier-analytic techniques, we rely on a new idea, mainly *changing the contour of integration* of a meromorphic function. 4:00 pm → Tea and Cookies to Follow in the Math Lounge (bring your own mug if you have one) Event Website: https://aco.math.cmu.edu/abs-24-25/sep26.html Add event to Google Add event to iCal
