Seminars and Lectures

Mon, Oct 16

Colloquium
Gurbir Dhillon, Yale
Sheaves on semi-infinite flag manifolds and Langlands duality Abstract : Let \(G\), \(G^L\) be Langlands-dual reductive groups. The geometric Satake equivalence is the wonderful fact that one can realize the monoidal category of \(G^L\)-representations as a category of constructible sheaves on a space built from \(G\), namely its affine Grassmannian. After recalling this story, we will present similar realizations of the representations of every parabolic and Levi subgroup of \(G^L\) as sheaves on the semi-infinite partial flag manifolds of \(G\). Time permitting, we will describe some natural extensions, including the realizations of the representations of various quantum groups. The contents of this talk build on work and conjectures of many people, notably Arkhipov, Bezrukavnikov, Braverman, Feigin, Finkelberg, Frenkel, Gaitsgory, Lusztig, Mirkovic, Vilonen, and Raskin, and is the subject of work in progress with Campbell, Chen, Lysenko, and Achar-Riche. 
4:00PM, Mathematics Building, room 250

Title: Sheaves on semi-infinite flag manifolds and Langlands duality

 

Abstract : Let \(G\), \(G^L\) be Langlands-dual reductive groups. The geometric Satake equivalence is the wonderful fact that one can realize the monoidal category of \(G^L\)-representations as a category of constructible sheaves on a space built from \(G\), namely its affine Grassmannian. After recalling this story, we will present similar realizations of the representations of every parabolic and Levi subgroup of \(G^L\) as sheaves on the semi-infinite partial flag manifolds of \(G\). Time permitting, we will describe some natural extensions, including the realizations of the representations of various quantum groups.

 

The contents of this talk build on work and conjectures of many people, notably Arkhipov, Bezrukavnikov, Braverman, Feigin, Finkelberg, Frenkel, Gaitsgory, Lusztig, Mirkovic, Vilonen, and Raskin, and is the subject of work in progress with Campbell, Chen, Lysenko, and Achar-Riche.

 


Thu, Oct 26

Colloquium
Lei Yang, Institute for Advanced Study
Effective versions of Ratner’s equidistribution theorem Speaker host: Hanfeng Li
4:00PM, Mathematics Building, room 250

Title: Effective versions of Ratner’s equidistribution theorem

 

Speaker host: Hanfeng Li


Fri, Nov 3

Applied Math Seminar
Yijun Sun, UB
TBA.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link


Fri, Nov 10

Applied Math Seminar
Dmitry Pelinovsky, Mcmaster University
Instability of peaked waves in hydrodynamical models.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link


Fri, Nov 17

Applied Math Seminar
Giselle Sosa Jones, Oakland University
Discontinuous Galerkin discretizations of multiphase flow problems in porous media.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link


Wed, Apr 24

Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #1
4:00PM


Thu, Apr 25

Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #2
4:00PM


Fri, Apr 26

Colloquium
Tomasz Mroka, MIT
2023-24 Myhill Lecture #3
4:00PM


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UB Math Spotlight

  • Congratulations to the Class of 2023
    6/13/23
    Four years. You’ve strived, sweated and succeeded. You’ve made friends and memories to last a lifetime. You’ve come so far. To recognize this achievement, the UB Department of Mathematics is pleased to publish the name of each undergraduate in the Class of 2023.
  • Giacomo Scilla wins the 2023 Summer Math Scholarship
    3/16/23
    The UB Department of Mathematics is pleased to announce that Giacomo Scilla is the recipient of the 2023 Summer Math Scholarship. Together with faculty mentor Dr. Gino Biondini, Scilla formulated an undergraduate research project aimed at understanding the classification of two-dimensional wave patterns governed by the solutions of the Kadomtsev-Petviashvili equation, with the ultimate goal of deriving efficient methods to generate large ensembles of such solutions.
  • Robert Busch wins Milton Plesur Excellence in Teaching Award
    5/24/22
    The Department of Mathematics is pleased to announce that Robert Busch, clinical assistant professor, is the winner of the coveted Milton Plesur Excellence in Teaching Award, 2019-2020. Busch was recognized by the undergraduate Student Association for his commitment and dedication to students. He was nominated for the award by his students. Upon news of the award, Busch's first thought was to acknowledge his students: “To all my students, over all the years, and in all the classes…for giving me the privilege of being your instructor, for making me into a better teacher, communicator, and human being, for the pleasure of watching you learn and succeed, and for the thrill of seeing you graduate and step into your dreams…from the bottom of my heart…THANK YOU.”
  • Destiny Diaz wins NSF Graduate Research Fellowship Award
    8/22/20
    The University at Buffalo Department of Mathematics is pleased to announce that Destiny Diaz has won the National Science Foundation’s Graduate Research Fellowship Award. The prestigious award is one of the most competitive and respected scientific fellowships in the U.S.  Diaz is completing a BS in mathematics with a minor in Spanish. Recently, Diaz received 2019 SUNY Chancellor’s Award for Student Excellence. A Buffalo native, she is a member of the University Honors College and a Prosperity Fellow. In Fall 2019, the NSF Graduate Research Fellowship will support her pursuit of graduate study in biostatistics at UB. The award provides three years of financial support within a five-year fellowship period, which amounts to a $34,000 annual stipend and $12,000 cost-of-education allowance to the graduate institution.
  • UB Math Grads win NSF Graduate Research Fellowships
    6/4/16
    The National Science Foundation Graduate Research Fellowship Program (GRFP) named a record number of winners from UB this year, one more than all the awards given to students in the rest of the SUNY system. For the 2016 competition, NSF received close to 17,000 applications, and made 2,000 award offers.
  • Professor Naoki Masuda wins JSPS Prize
    2/26/20
    The University at Buffalo Department of Mathematics is pleased to announce that Dr. Naoki Masuda, Associate Professor, is the winner of the JSPS (Japan Society for Promotion of Science) Prize 2020. The national award recognizes his work, “Pioneering Research on Theory and Data-Analysis Methods for Temporal Networks”. Dr. Masuda attended the JSPS Awards Ceremony in February, 2020, accompanied by his daughter, Ami Masuda. The JSPS 2020 Award included full funding of their travel to Japan. While there, Dr. Masuda and Ami participated in an exclusive audience with the Japanese Royal Family.
  • Nature, Communications Physics journal publishes paper by Dane Taylor and Bengier Ulgen Kilic
    11/3/20
    Mapping neuron-to-neuron communication: Dane Taylor, PhD, assistant professor of mathematics, and UB PhD candidate Bengier Ulgen Kilic conduct research to better understand the biological and mathematical mechanisms that allow brains to manifest memories as neuron activity patterns that can be stored and reliably called upon later for cognitive processing.  "Simplicial cascades are orchestrated by the multidimensional geometry of neuronal complexes"  is the resulting paper published by Nature, Communications Physics. The international journal is called "the finest peer-reviewed research in all fields of science and technology on the basis of its originality, importance, interdisciplinary interest, timeliness, accessibility, elegance and surprising conclusions." Read research news by Barbara Branning.
  • Linda Alegria, UB Math Graduate Student, wins Excellence in Teaching Award
    4/25/22
    The Department of Mathematics is pleased to announce that Linda Alegria has been awarded the University at Buffalo's 2022 Excellence in Teaching Award for Graduate Student Teaching Assistants. The award was presented at a luncheon in April, with Satish Tripathi, UB President, and Robin Schulze, CAS Dean, in attendance.
  • Julia Shapiro wins SUNY Chancellor's Award for Student Excellence
    3/31/22
    The University at Buffalo Department of Mathematics is pleased to announce that Julia Shapiro, winner of the 2022 SUNY Chancellor's Award for Student Excellence. Shapiro will graduate with a bachelor of science in mathematics, and her accomplishments as an undergraduate student include: University Honors College Scholar,  winner of the 2021 Harriet F. Montague Award, and President of the UB Undergraduate Math Club. Shapiro has completed research on Markov Chains through a nationally recognized program at the University of Connecticut, has been a Peer Mentor in the Honors College,  has served as an Ambassador of both the Honors College and the College of Arts and Sciences, and has served as an Undergraduate Teaching Assistant in three separate departments — Mathematics, Biostatistics, and Computer Science. 
  • Professor Sarah Muldoon delivers session on analyzing neuroimaging data across scales
    11/3/20
    Statisticians from across upstate New York will descend on UB May 2-4 for UP-STAT 2022, the 10th joint conference of the Upstate Chapters of the American Statistical Association. Sarah Muldoon, associate professor in the Department of Mathematics, UB College of Arts and Sciences, will deliver a special invited session on modeling and analyzing neuroimaging data across scales. Visit the conference website.  Read the story by David J. Hill.
  • CNN reports on interdisciplinary paper by Dane Taylor, Jingjie Hu, and Brian Quigley
    11/3/20
    CNN Health—We really did buy more alcohol during the early pandemic, study finds As many U.S. states implemented stay-at-home orders beginning in March 2020, anecdotes reported a surge in alcohol sales, raising concerns about increased alcohol use and associated ills. The surveillance report from the National Institute on Alcohol Abuse and Alcoholism provides monthly U.S. alcohol sales data from a subset of states, allowing an investigation of this potential increase in alcohol use. Meanwhile, anonymized human mobility data released by companies such as SafeGraph enables an examination of the visiting behavior of people to various alcohol outlets such as bars and liquor stores. The study's coauthors are: Yingjie Hu, assistant professor in the department of geography;  Brian Quigley, a research assistant professor of medicine in the Jacobs School of Medicine and Biomedical Sciences; and, Dane Taylor, assistant professor in the department of mathematics. Their study examines changes to alcohol sales and alcohol outlet visits during COVID-19 and their geographic differences across states. See research news by Charlotte Hsu.