Department of Mathematics
http://as.vanderbilt.edu/math
College of Arts and Science | Vanderbilt UniversityFri, 27 Feb 2015 19:23:05 +0000enhourly1http://wordpress.org/?v=3.1.4Acylindrical hyperbolicity of groups with positive first L2-Betti number
http://as.vanderbilt.edu/math/2015/02/acylindrical-hyperbolicity-of-groups-with-positive-first-l2-betti-number/
http://as.vanderbilt.edu/math/2015/02/acylindrical-hyperbolicity-of-groups-with-positive-first-l2-betti-number/#commentsWed, 25 Feb 2015 22:10:32 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1829The main purpose of my talk will be to discuss the following question: Is every finitely presented groups with positive first L2-Betti number acylindrically hyperbolic? I will explain the rationale behind this question and discuss some partial results. In particular, I will show that the answer is positive for residually finite groups
]]>http://as.vanderbilt.edu/math/2015/02/acylindrical-hyperbolicity-of-groups-with-positive-first-l2-betti-number/feed/0Graduate Student Tea
http://as.vanderbilt.edu/math/2015/02/graduate-student-tea-15/
http://as.vanderbilt.edu/math/2015/02/graduate-student-tea-15/#commentsWed, 25 Feb 2015 20:30:21 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1831http://as.vanderbilt.edu/math/2015/02/graduate-student-tea-15/feed/0Talk Title TBA
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-38/
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-38/#commentsTue, 24 Feb 2015 23:00:30 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1701http://as.vanderbilt.edu/math/2015/02/talk-title-tba-38/feed/0Approximation properties for subfactors
http://as.vanderbilt.edu/math/2015/02/approximation-properties-for-subfactors/
http://as.vanderbilt.edu/math/2015/02/approximation-properties-for-subfactors/#commentsFri, 20 Feb 2015 21:10:20 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1718http://as.vanderbilt.edu/math/2015/02/approximation-properties-for-subfactors/feed/0Boundary regularity for degenerate and singular parabolic equations
http://as.vanderbilt.edu/math/2015/02/boundary-regularity-for-degenerate-and-singular-parabolic-equations/
http://as.vanderbilt.edu/math/2015/02/boundary-regularity-for-degenerate-and-singular-parabolic-equations/#commentsFri, 20 Feb 2015 22:10:19 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1786I characterise regular boundary points of the parabolic p-Laplacian in terms of a family of barriers, both when p > 2 and 1 < p < 2. By constructing suitable families of barriers, I give some simple geometric conditions that ensure the regularity of boundary points.
]]>http://as.vanderbilt.edu/math/2015/02/boundary-regularity-for-degenerate-and-singular-parabolic-equations/feed/0Semirandom methods in combinatorics
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-43/
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-43/#commentsThu, 19 Feb 2015 21:10:33 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1730The development of the probabilistic method in combinatorics since it’s inception by papers of P. Erdős has led to groundbreaking results across a broad mathematical landscape. In this talk, I will survey a technique which has come to be known as the semirandom method, starting with the ideas of V. Rödl. Some of the highlights include applications to combinatorial and projective geometry, and most notably the recent proof of the existence of combinatorial designs. The main ideas will be discussed, without delving too far into the technical details, and a number of open problems will be presented.
]]>http://as.vanderbilt.edu/math/2015/02/talk-title-tba-43/feed/0Talk Title TBA
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-46/
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-46/#commentsWed, 18 Feb 2015 22:10:22 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1792http://as.vanderbilt.edu/math/2015/02/talk-title-tba-46/feed/0Graduate Student Tea
http://as.vanderbilt.edu/math/2015/02/graduate-student-tea-14/
http://as.vanderbilt.edu/math/2015/02/graduate-student-tea-14/#commentsWed, 18 Feb 2015 20:30:29 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1797http://as.vanderbilt.edu/math/2015/02/graduate-student-tea-14/feed/0Talk Title TBA
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-37/
http://as.vanderbilt.edu/math/2015/02/talk-title-tba-37/#commentsTue, 17 Feb 2015 23:00:04 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1699http://as.vanderbilt.edu/math/2015/02/talk-title-tba-37/feed/0Containers for Hypergraphs
http://as.vanderbilt.edu/math/2015/02/containers-for-hypergraphs/
http://as.vanderbilt.edu/math/2015/02/containers-for-hypergraphs/#commentsMon, 16 Feb 2015 21:10:29 +0000rongiolhttp://as.vanderbilt.edu/math/?p=1799A collection of containers for a hypergraph is a collection of subsets of vertices such that every independent set is contained in some member of the collection. We will discuss a recent result by Saxton and Thomason, which for certain hypergraphs proves the existence of a small collection of containers whose elements are also small, thus giving a bound on the number of independent sets. We will see how this relates to counting the number of hypergraphs with a forbidden subgraph, and other interesting problems.
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