Monday September 24, 2018 4:15 PM  5:15 PM 5127
 Student Differential Geometry Seminar Michael Albanese, Stony Brook University
KahlerEinstein metrics. As discussed last time, a Riemannian manifold has holonomy contained in the unitary group if and only if the metric is Kahler. Unlike the other cases of reduced holonomy, Kahler metrics need not be Einstein; a metric which is both Kähler and Einstein is called a KahlerEinstein metric.
We will begin by investigating the curvature tensor of a Kahler metric, which will allow us to determine a necessary cohomological condition for the existence of a KahlerEinstein metric. Then we will show that the KahlerEinstein condition is equivalent to the complex MongeAmpere equation.

Tuesday September 25, 2018 4:00 PM  5:30 PM Math Tower P131
 Geometry/Topology Seminar Benjamin McMillan, Stony Brook University
Conservation laws and MongeAmpère parabolic equationsIn this talk I will describe how the geometry of an arbitrary parabolic second order equation governs the behavior of its conservation laws, and conversely, how the existence of a conservation law puts strong geometric restrictions on a parabolic equation. In particular, the class of MongeAmpère parabolic equations is very nongeneric, but I will nonetheless describe how the only parabolic equations with at least one conservation law are those of MongeAmpere type.

Wednesday September 26, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Ying Hong Tham, Stony Brook University
Loewner Chains and the Loewner PDEWe will define radial Loewner chains, and describe their various convergence and distortion properties using the tools from the previous weeks.
We will also derive the Loewner PDE, and as an application, prove the Bieberbach conjecture for the case n=3.

Wednesday September 26, 2018 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Aaron Bertram, University of Utah
Stability Conditions on Projective Space.Gieseker stability uses the Hilbert polynomial of a coherent sheaf divided by its leading coefficient as an "asymptotic" slope function. We propose a family of stability conditions on CastelnuovoMumford regular sheaves that use the Hilbert polynomial divided by its derivative as "exact" slopes. We conjecture that this converges to Gieseker stability (it's true in dimensions 1,2,3). This is joint work with Matteo Altavilla and Marin Petkovic, and an application to the classification of Gorenstein rings is joint work with Brooke Ullery.

Thursday September 27, 2018 2:30 PM  03:30 AM P131
 Analysis Seminar Boris Bukh, Carnegie Mellon University
Nearly orthogonal vectorsHow can d+k vectors in R^d be arranged so that they are as close to orthogonal as possible? We show intimate connection of this problem to the problem of equiangular lines, and to the problem of bounding the first moment of isotropic measures. Using these connections, we pin down the answer precisely for several values of k and establish asymptotics for all k. Joint work with Chris Cox.

Thursday September 27, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Boris Bukh, Carnegie Mellon
Bipartite Turan problem
What is the largest graph not containing a copy of a fixed graph H? This question of Turan from 1941 remains open. The most challenging case is when H is bipartite. This case leads to interesting graph embedding problems on one hand, and mysterious algebrogeometric constructions on the other. In the talk, I will discuss the key problems and recent progress in the area.

Friday September 28, 2018 12:00 PM  1:00 PM Math Tower 5127
 Grad / Postdoc Professional Development Seminar Chris Bishop and Christian Schnell, Stony Brook University
Miniworkshop: Giving short talks, IIThe second part of a "miniworkshop" about giving short talks. This week, we are going to ask some of you to deliver 5minute talks about the topics you chose last week, with feedback from the whole group.

Friday September 28, 2018 4:00 PM  5:00 PM SCGP 102
 Colloquium Federico Rodriguez Hertz, Penn State University
TBATBA

Wednesday October 03, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Tim Alland, Stony Brook University
The Loewner Differential EquationTBA

Thursday October 04, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Kevin Ford, Univ. of Illinois at UrbanaChampaign
Probabilistic aspects of number theoryWe describe how probabilistic tools and reasoning are used to study problems about gaps
between prime numbers in various sequences, for example the sequence of all primes, and the sequence of prime values of a polynomial. This is joint work with Ben Green, Sergei Konyagin, James Maynard, Carl Pomerance and Terence Tao.

Thursday October 04, 2018 2:30 PM P131
 Analysis Seminar Nicholas Edelen, MIT
TBATBA

Thursday October 04, 2018 5:00 PM SCGP 102
 NY General Relativity Seminar Siyuan Lu, Rutgers
On a localized Riemannian Penrose inequalityFor a bounded manifold with nonnegative scalar curvature, the BrownYork quasilocal mass is nonnegative and equals to 0 iff it's a domain in Euclidean space by fundamental results of Shi and Tam. Moreover, it is shown that the inequality is equivalent to Positive mass theorem.
We consider the general setting that the bounded manifold allows a horizon. We establish a localized Riemannian Penrose inequality and prove that the equality holds iff it's a domain in Schwarzschild manifold. Similar to the ShiTam case, the inequality is equivalent to Riemannian Penrose inequality.
This is based on joint works with P. Miao.

Friday October 05, 2018 12:00 PM  1:00 PM Math Tower P131
 Grad / Postdoc Professional Development Seminar Lilia Tsalenko, Blockstream
Career advice from Lilia TsalenkoLilia Tsalenko, http://www.linkedin.com/in/liliamt, has over 25 years of professional experience, with 13+ years as the founder and CEO of Elti Solutions, a Global Talent Search and Recruiting Company. She joined Blockstream in September of 2017, a company pioneering advancements in cryptography and blockchain technology, as Head of Talent Acquisition and is working on scaling the global team over the next year. Before that, Lilia worked for 10+ years as a Software Engineer for many companies in the San Francisco Bay Area.
In the seminar, Lilia is going to talk a little bit about her career path and explain how finding a job in the tech sector looks like from the point of view of a recruiter. She will also draw on her experience to offer career advice for math PhD's.

Wednesday October 10, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Jack Burkart, Stony Brook University
Slit Domains and Chordal Loewner TheoryTBA

Wednesday October 10, 2018 1:00 PM  2:00 PM Math Tower P131
 Math Club Samuel Grushevsky, Ljudmila Kamenova, Christian Schnell, Stony Brook University
Putnam related problems and tipsIn this Math Club meeting the speakers will explain some problem solving techniques, show examples of how they work, and assign practice problems. They will also share some tips for taking the Putnam competition.

Thursday October 11, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Lenny Ng, Duke
TBATBA

Thursday October 11, 2018 2:30 PM P131
 Analysis Seminar Daniel Jerison, Tel Aviv University
TBATBA

Friday October 12, 2018 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Alena Erchenko, Ohio State University
Flexibility of Lyapunov exponents on the circle and the torusThere are several interesting classes of measures. For two special classes of dynamical systems, we will concentrate on the invariant measure that is absolutely continuous with respect to the Lebesgue measure and the measure of maximal entropy. First, we show that Lyapunov exponents with respect to these two probability measures for smooth expanding circle maps of a fixed degree $≥ 2$ take on all values that satisfy some wellknown inequalities. Then, we demonstrate a similar result for positive Lyapunov exponents with respect to these two measures for Anosov areapreserving diffeomorphisms on a twotorus that are homotopic to a fixed areapreserving Anosov automorphism (work in progress).

Wednesday October 17, 2018 4:00 PM Math Tower 5127
 Analysis Student Seminar Silvia Ghinassi, Stony Brook University
TBATBA

Wednesday October 17, 2018 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Matt Kerr, Washington University in St Louis
TBATBA

Thursday October 18, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Ailana Fraser, UBC
TBATBA

Thursday October 18, 2018 2:30 PM P131
 Analysis Seminar Matthew Badger, University of Connecticut
TBATBA

Thursday October 25, 2018 4:00 PM  5:00 PM SCGP 102
 Colloquium Nigel Hitchin, University of Oxford
TBAThis is a joint lecture with the SCGP Workshop Geometrical Aspects of Supersymmetry.

Thursday October 25, 2018 2:30 PM P131
 Analysis Seminar Philippe Sosoe, Cornell University
TBATBA

Friday October 26, 2018 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Vasiliki Evdoridou, The Open University
Singularities of inner functions associated to entire maps in the class $\mathcal{B}$Let $f$ be a transcendental entire function and $U$ be an unbounded, invariant Fatou component of $f$. We can associate an inner function, $g$ say, to the restriction of $f$ to $U$. We consider two classes of functions in $\mathcal{B}$ having finitely many tracts. We show that if $f$ belongs to either of these two classes the number of singularities of $g$ on the unit circle is equal to the number of tracts of $f$. This is joint work with N. Fagella, X. Jarque and D. Sixsmith.

Friday November 02, 2018 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Yotam Smilansky, The Hebrew University of Jerusalem
TBATBA

Monday November 05, 2018 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Wei Ho, U. Michigan Ann Arbor and Columbia U.
TBANote special day: Monday.
TBA

Tuesday November 06, 2018 4:00 PM  5:30 PM Math Tower P131
 Geometry/Topology Seminar Ruobing Zhang, Stony Brook University
TBA

Friday November 09, 2018 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Dimitrios Ntalampekos, Stony Brook University
TBATBA

Thursday November 15, 2018 2:30 PM P131
 Analysis Seminar Vyron Vellis, University of Connecticut
TBATBA

Wednesday November 28, 2018 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Barghav Bhatt, U. Michigan, Ann Arbor
TBATBA

Thursday November 29, 2018 4:00 PM  5:00 PM Math Tower P131
 Colloquium Bhargav Bhatt, University of Michigan
TBATBA

Friday November 30, 2018 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Christopher J. Leininger, University of Illinois at UrbanaChampaign
TBATBA

