Usual meetings: Thursday 4-5 PM, Whitney 309
The Mathematics Graduate Student Seminar seeks to strengthen communication among grad students at Binghamton University, thereby cultivating our community and fostering a friendly environment in which to do mathematics research. We provide a venue for grad student talks on interesting math; we also hope to stimulate discussion around various topics--mathematical and otherwise--relevant to math grad students.
Presentations should be accessible to mathematics grad students, and all are encouraged to contribute a talk!
Email Uly Alvarez or Andrew Lamoureux (math emails alvarez and lamoureux respectively) to schedule your talk!
For a list of talks from previous semesters, see the link in the top right corner.
Feb. 3: Organizational Meeting
Feb. 10: BUGCAT Organizational Meeting
Abstract: This week we will have a general interest meeting for the BUGCAT Conference (Binghamton University Graduate Combinatorics Algebra and Topology Conference ).
Anyone who wishes to know more about the conference or is interested in contributing is welcome.
First year graduate students are encouraged to attend.
If you like to contribute to BUGCAT, but can't make it to the meeting today you can email me at: mjyothi1@binghamton.edu
Feb. 17, 5:10pm (Note the different time): Sayak Sengupta, Nilpotent and nilpotent modulo polynomials over $Z$
Abstract: In this talk we will describe a new kind of polynomials over $Z$, named nilpotent and nilpotent modulo polynomials in one variable over $Z$ and make an attempt to understand their fascinating properties and behaviors.
Feb. 24: Chris Eppolito, Pythagorean Arrangements
Abstract: A Pythagorean arrangement is an arrangement of hyperplanes built from a real-gain graph and a finite set of points in affine space. A collection of points is generic for a given gain graph when the corresponding Pythagorean arrangements have stable combinatorial type under small perturbation of the input points. This talk summarizes my recent work on generic arrangements (but mostly it's an excuse to showcase some pretty pictures).
Mar. 3, 5:10pm (Note the different time): Sayak Sengupta, Nilpotent and nilpotent modulo polynomials over $Z$ (continuation)
Abstract: In this talk we will describe a new kind of polynomials over $Z$, named nilpotent and nilpotent modulo polynomials in one variable over $Z$ and make an attempt to understand their fascinating properties and behaviors.
Mar. 10: no seminar
Mar. 17: no seminar- spring break
Mar. 24: Andrew Lamoureux, Arithmetic Differential Operators over Compact DVRs
Abstract: In 2011, Alexandru Buium, Claire C. Ralph, and Santiago Simanca proved that a map f: Z_p -> Z_p is an 'arithmetic differential operator or order m' if and only if it is 'analytic of level m'. Both notions can be generalized first to maps f: R^d -> R, where R is a compact DVR, and then to maps f: X(R) -> Y(R), where X and Y are two smooth affine schemes of finite type over R. In this talk, we will see that these notions are still equivalent in this more general context and that every analytic map of manifolds f:X(R) -> Y(R) is analytic of level m for some m.
Mar. 31: Chris Eppolito, Pythagorean Arrangements and Generic Gains
Abstract: A Pythagorean arrangement is an arrangement of hyperplanes built from a real-gain graph and a finite set of points in affine space. There are two natural notions of genericity for such arrangements: one concerning perturbations of the points, the other concerning perturbations of the gain graph. This talk summarizes my recent work on these two notions of genericity.
Apr. 7: Chris Eppolito, Generic Combinatorics of Hyperplane Arrangements
Abstract: We continue our investigation of the generic Pythagorean hyperplane arrangements. In particular, we delve further into the interplay of the combinatorics of these hyperplane arrangements, the combinatorics of the gain graphs used to define them, and the geometry of our configuration of reference points.
Apr. 14: no seminar
Apr. 21: Chris Schroeder
Apr. 28: no seminar
May 5: Shuchen Mu, Cyclic homology and S^1-equivariant homology
Abstract: Cyclic homology is a discrete model for S^1-equivariant homology.