Tuesday October 17, 2017 4:00 PM  5:00 PM Math Tower P131
 Geometry/Topology Seminar Jiyuan Han, UWMadison
On closedness of ALE SFK metrics on minimal ALE Kahler surfacesFor certain cases with some topological assumption that gives the boundedness of Sobolev constant, we construct the space of ALE SFK metrics on minimal ALE Kahler surfaces asymptotic to C^2/G, where G is a finite subgroup of U(2). This is a joint work with Jeff Viaclovsky.

Wednesday October 18, 2017 1:00 PM Math Tower 4130
 Math Club Arie Hinkis,
How can mathematical proofs be compared ?The CantorBernstein Theorem received the attention of over forty proofs in the first hundred years since it was formulated. We offer a method for the comparison of these proofs. The method reveals a general pattern for the discovery of proofs in mathematics. We draw attention to the inner history of mathematics regarding the seminal work of Denes Koenig on the theory of graphs and mention in passing several historical anecdotes.

Wednesday October 18, 2017 4:00 PM  5:00 PM Math Tower P131
 Algebraic geometry seminar Harold Blum, U. Michigan, Ann Arbor
Valuations, Singularities, and KstabilityLet L be a line bundle on a projective variety X. We use valuations to measure the singularities of the linear system mL as m goes to infinity.
Specifically, we consider the global log canonical threshold, also known as Tian’s alpha invariant, and the stability thresholds of L. The stability threshold generalizes an invariant recently introduced by Kento Fujita and Yuji Odaka. When X is a Fano variety, we show that the stability threshold detects the K(semi)stability of X. This talk is based on joint work with Mattias Jonsson.

Wednesday October 18, 2017 1:00 PM  2:00 PM Math Tower P131
 Graduate Student Seminar John Sheridan, Stony Brook University
TBATBA

Thursday October 19, 2017 4:00 PM  5:00 PM Math Tower P131
 Colloquium Alex Gamburd, CUNY Graduate Center
Arithmetic and Dynamics on MarkoffHurwitz VarietiesMarkoff triples are integer solutions of the equation $x^2+y^2+z^2=3xyz$ which arose in Markoff's spectacular and fundamental work (1879) on diophantine approximation and has been henceforth ubiquitous in a tremendous variety of different fields in mathematics and beyond. After reviewing some of these, we will discuss joint work with Bourgain and Sarnak on the connectedness of the set of solutions of the Markoff equation modulo primes under the action of the group generated by Vieta involutions, showing, in particular, that for almost all primes the induced graph is connected. Similar results for composite moduli enable us to establish certain new arithmetical properties of Markoff numbers, for instance the fact that almost all of them are composite.
Time permitting, we will also discuss recent joint work with Magee and Ronan on the asymptotic formula for integer points on MarkoffHurwitz surfaces $x_1^2+x_2^2 + \dots + x_n^2 = x_1 x_2 \dots x_n$, giving an interpretation for the exponent of growth in terms of certain conformal measure on the projective space.

Friday October 20, 2017 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Yury Kudryashov, Cornell University
Bifurcations of planar vector fieldsIn 1985 V. Arnold stated six problems aimed to outline the future development of the global bifurcation theory in the plane. In particular, he conjectured that a generic finiteparametric family of vector fields on the twosphere is structurally stable. Recently Yulij
Ilyashenko, Ilya Schurov and I disproved this conjecture [1]. It turns out that 3parametric families of vector fields may have numerical invariants of (moderate) topological classification, and 6parametric families may have functional invariants.
I will discuss the main construction of [1], then I'll give a survey of the results obtained by Yu. Ilyashenko and his students N. Goncharuk, me, I. Schurov, N. Solodovnikov, V. Starichkova.
I will also discuss some ongoing research in this field that may lead to many independent numerical invariants of the 3parametric family of vector fields constructed in [1].
[1]: http://arxiv.org/abs/1506.06797

Tuesday October 24, 2017 5:25 PM  6:30 PM Math Tower 5127
 First and Second Year Student Seminar Panel discussion, Stony Brook University
Prepare qual/comps We will hold a discussion session with Ben Wu, Tobias Shin, Liz Hernandez Vazquez, and Aleksandar Milivojevic about preparing/taking qual/comps.

Tuesday October 24, 2017 4:00 PM  5:30 PM Math Tower P131
 Geometry/Topology Seminar Mark Haskins, University of Bath
Codimension One Collapse and Special Holonomy MetricsIn this talk we describe recent developments related to codimension one collapse of exceptional holonomy metrics. i.e. where a family of special holonomy metrics on a space of dimension n converges in some limit to a metric on a space of dimension n1. Interesting examples occur for hyperkaehler 4manifolds, G_2 holonomy manifolds and Spin_7 holonomy manifolds. The talk will focus on the G_2 holonomy case, but will also draw on the better understood hyperkaehler case for inspiration and for useful analogies. These mathematical developments are closely related to important limits in physics, e.g. in the context of G_2 holonomy metrics it is related to the identification of the weak coupling limit of M theory compactified on a G_2 holonomy space being Type IIA String Theory on a 6dimensional space. This is work joint with Lorenzo Foscolo and Johannes Nordstrom.

Wednesday October 25, 2017 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Sebastian CasalainaMartin, U. of Colorado,. Boulder
TBATBA

Wednesday October 25, 2017 1:00 PM  2:00 PM Math Tower P131
 Graduate Student Seminar YoonJoo Kim, Stony Brook University
TBATBA

Thursday October 26, 2017 4:00 PM  5:00 PM Math Tower P131
 Colloquium TBA,
Crosslisted with SCGP workshop

Friday October 27, 2017 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Babak Modami, Stony Brook University
Renormalization in Teichmuller dynamicsAfter a brief review of Masur's criterion which is an example of the renormalization technique in Teichmuller dynamics, we show that an analogue of the criterion does not hold for the WeilPetersson geodesic flow. The talk is based on a joint work with Jeff Brock from 2015.

Monday October 30, 2017 1:00 PM 5127
 RTG Seminar Yoonjoo Kim, Stony Brook University
Degenerations of Hodge StructuresTBA

Monday October 30, 2017 4:00 PM  5:30 PM Math Tower P131
 Special Algebra / Algebraic Geometry Seminar Remy van Dobben de Bruyn, Columbia University
Dominating varieties by liftable ones.Given a smooth projective variety over an algebraically closed field of positive characteristic, can we always dominate it by another smooth projective variety that lifts to characteristic 0? We give a negative answer to this question.

Wednesday November 01, 2017 1:00 PM  2:00 PM Math Tower P131
 Graduate Student Seminar Chase Middleman, Stony Brook University
TBATBA

Thursday November 02, 2017 4:00 PM  5:00 PM Math Tower P131
 Colloquium Simon Marshall, University of Wisconsin
TBATBA

Friday November 10, 2017 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Michael Yampolsky, University of Toronto
TBATBA

Tuesday November 14, 2017 4:00 PM  5:30 PM Math Tower P131
 Geometry/Topology Seminar Eveline Legendre, Universite de Toulouse
TBATBA

Wednesday November 15, 2017 1:00 PM  2:00 PM Math Tower P131
 Graduate Student Seminar Tobias Shin, Stony Brook University
TBATBA

Wednesday November 22, 2017 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Happy TKSgiving!, Happy TKSgiving!
Happy TKSgiving!Happy TKSgiving!

Tuesday November 28, 2017 4:00 PM  5:00 PM Math Tower P131
 Geometry/Topology Seminar Antonio Ache, University of Notre Dame
TBA

Wednesday November 29, 2017 1:00 PM  2:00 PM Math Tower P131
 Graduate Student Seminar Jae Ho Cho, Stony Brook University
TBATBA

Wednesday November 29, 2017 4:00 PM  5:30 PM Math Tower P131
 Algebraic geometry seminar Christian Schnell, Stony Brook University
TBATBA

Friday December 01, 2017 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Sabyasachi Mukherjee, Stony Brook University
TBATBA

Wednesday December 06, 2017 2:30 PM  3:30 PM Math Tower P131
 Colloquium Dorian Goldfeld, Columbia University
TBATBA

