Department Of Mathematics, Kansas State University
| THURSDAY Jan. 21 : | Function Theory Study Seminar |
| Title: | "A multilinear version of the Marcinkiewicz interpolation theorem" by Robert Strichartz. |
| Shkelzen Mansaku
Kansas State University Abstract: The Marcinkiewicz Interpolation Theorem is an important result in the theory of operators. It gives a condition for a strong-type estimate of a linear operator involving weak-type estimates. A natural question arises: Can this theorem be generalized to the multi-linear case? In this brief talk, a generalized version of the result will be presented (involving simplexes), after exploring what can possibly go wrong with the most obvious way to generalize: by considering a line segment in n-dimensional space. | |
| Time and Place: | 1:30 PM CW129 |
| Faculty Meeting | |
| Title: | Tenured Faculty Meeting |
| . | |
| Time and Place: | 2:30 PM CW 122 |
| MONDAY Jan. 25 : | Algebra Seminar |
| Title: | Introduction to cluster algebras |
| Andrei Zelevinsky
NEU Cluster algebras are commutative rings of a special kind making a surprising appearance in a variety of settings, including quiver representations, Poisson geometry, Teichmuller theory, representations of semisimple groups, etc. Their structure is governed by several discrete dynamical systems given by piecewise-polynomial and rational recurrences on a regular tree. We will discuss main features and various connections of cluster algebras. | |
| Time and Place: | 4:30 PM CW 130 |
| TUESDAY Jan. 26 : | Operator Algebra Seminar |
| Title: | K_0 and classification of AF-algebras |
| We resume the Seminar at the usual time & location. We will continue to read Rordam's (et.al) book, chapters 4 through 7. | |
| Time and Place: | 1:00 PM BH 204 |
| Seminar duration: 1 hour 30 min | |
| THIRTY-SIXTH WILLIAM J. SPENCER LECTURE | |
| Title: | Quivers with Potentials: Representations, Mutations and Applications |
| Andrei Zelevinsky
Northeastern University Abstract: A quiver is a finite directed graph, that is, a finite set of vertices some of which are joined by arrows. A quiver representation assigns a finite-dimensional vector space to each vertex, and a linear map between the corresponding spaces to each arrow. A fundamental role in the theory of quiver representations is played by Bernstein-Gelfand-Ponomarev reflection functors associated to every source or sink of a quiver. In a joint work with Harm Derksen and Jerzy Weyman we extend these functors to arbitrary vertices. This construction is based on a framework of quivers with potentials; their representations are quiver representations satisfying relations of a special kind between the linear maps attached to arrows. The motivations for this work come from several sources: superpotentials in physics, Calabi-Yau algebras, cluster algebras. However no special knowledge will be assumed in any of these subjects, and the exposition aims to be accessible to graduate students. | |
| Time and Place: | 2:30 PM CW 102 |
| Partially supported by NSF. | |
| THURSDAY Jan. 28 : | Function Theory Study Seminar |
| Title: | "A multilinear version of the Marcinkiewicz interpolation theorem" by Robert Strichartz. Part II. |
| Shkelzen Mansaku
Kansas State University Abstract: The Marcinkiewicz Interpolation Theorem is an important result in the theory of operators. It gives a condition for a strong-type estimate of a linear operator involving weak-type estimates. A natural question arises: Can this theorem be generalized to the multi-linear case? In this brief talk, a generalized version of the result will be presented (involving simplexes), after exploring what can possibly go wrong with the most obvious way to generalize: by considering a line segment in n-dimensional space. | |
| Time and Place: | 1:30 PM CW129 |
| Faculty Meeting | |
| Title: | Graduate Faculty Meeting |
| . | |
| Time and Place: | 2:30 PM CW 122 |
| MONDAY Feb. 01 : | Algebra Seminar |
| Title: | Tropical Homology |
| Ilia Zharkov
Kansas State University Given a balanced rational polyhedral complex (AKA tropical variety) I will define certain Z-graded groups. If the tropical variety represents the degeneration of a family of complex projective varieties this groups conjecturally coinside with Hodge groups of the complex family. I will do the case of hyperplane arrangments in projective space in details: here the Orlik-Solomon algebra is dual to the subspace of exterior algebra generated by the corresponding matroid fan. | |
| Time and Place: | 4:30 AM CW 130 |
| THURSDAY Feb. 04 : | Function Theory Study Seminar |
| Title: | Bayesian image classification |
| Sharad Silwal
Kansas State University Abstract: Images are matrices with each entry representing a pixel (short for picture element). Image classification studies categorizing pixels into a number of predetermined classes. Bayesian statistical approach differs from the conventional frequentist approach in that it defines probability as a degree of belief which can be constantly updated with new information rather than as a relative frequency in the long run. In this talk, a Bayesian approach in statistics will be discussed and Bayesian image classification will be described with examples of implementation. | |
| Time and Place: | 1:30 PM CW129 |
| TUESDAY Feb. 09 : | Operator Algebra Seminar |
| Title: | K_0 and classification of AF-algebras |
| We plan to finish the introduction on AF-algebras, and their classification via K_0 (chapter 7 in Rordam's book) | |
| Time and Place: | 1:00 PM BH 204 |
| Seminar duration: 1 hr 20 min | |
| Number Theory Seminar | |
| Title: | "Lehmer's Problem for Compact Abelian Groups", by D. Lind |
| Craig Spencer
Kansas State University | |
| Time and Place: | 3:30 PM CW 129 |
| MONDAY Feb. 15 : | Geometry, Topology, and Physics |
| Title: | A homotopy-theoretic view of Bott-Taubes integrals and knot spaces |
| Robin Koytcheff
Stanford University Abstract Bott and Taubes constructed knot invariants by considering a bundle over the space of knots and performing integration along the fiber. This method was subsequently used to construct real cohomology classes in spaces of knots in R^n, n > 3. Replacing integration of differential forms by a Pontrjagin-Thom construction, I have constructed cohomology classes with arbitrary coefficients. Motivated by work of Budney and F. Cohen on the homology of the space of long knots in R^3, I have also proven a product formula for these classes with respect to connect-sum. If time permits, I will discuss work in progress towards explicit calculations using cosimplicial models for knot spaces coming from the Goodwillie-Weiss embedding calculus. | |
| Time and Place: | 3:30 PM CW130 |
| TUESDAY Feb. 16 : | COLLOQUIUM |
| Title: | Finite-Type Knot Invariants and Configuration Space Integrals |
| Robin Koytcheff
Stanford University Abstract: Finite-type knot invariants, originally developed by Vassiliev, are an important class of invariants in that they conjecturally approximate all knot invariants and hence separate knots. I will describe them in elementary, purely combinatorial terms. I will then discuss the configuration space integrals of Bott and Taubes, which provide one way of constructing all Vassiliev invariants. These integrals have more generally been used to construct real cohomology classes in spaces of knots. I will conclude by hinting at how to construct classes in cohomology with arbitrary coefficients. | |
| Time and Place: | 2:30 PM CW 122 |
| Partially funded by the Midwest Topology Network NSF grant DMS-0844249. | |
| MONDAY Feb. 22 : | Algebra Seminar |
| Title: | TBA |
| Victor Turchin
Kansas State University Abstract | |
| Time and Place: | 4:30 AM CW 130 |
| MONDAY Mar. 01 : | Algebra Seminar |
| Title: | TBA |
| Gerald Hoehn
Kansas State University Abstract | |
| Time and Place: | 4:30 AM CW 130 |
| TUESDAY Mar. 02 : | COLLOQUIUM |
| Title: | tba |
| Iain Raeburn
University of Wollongong, Australia Abstract | |
| Time and Place: | 2:30 PM CW 122 |
| This lecture is supported in part by the ADVANCE Distinguished Lecture Series. | |
| MONDAY Mar. 08 : | Algebra Seminar |
| Title: | TBA |
| Natasha Rozhkovskaya
Kansas State University Abstract | |
| Time and Place: | 4:30 AM CW 130 |
| TUESDAY Mar. 09 : | Faculty Meeting |
| Title: | Graduate Faculty Meeting |
| . | |
| Time and Place: | 2:30 PM CW 122 |
| THURSDAY Mar. 11 : | TWENTY-FIRST ISIDORE & HILDA DRESSLER LECTURE |
| Title: | Counting Integral Solutions of Diagonal Equations |
| Trevor Wooley
University of Bristol, United Kingdom Abstract: We consider diagonal diophantine equations related to, though with more variables, than that made famous by Fermat's Last Theorem. When the degree of such an equation is large, one expects it to have few if any solutions other than the "obvious" ones. Is this really true? What would this imply? In this talk, we will provide partial answers to these questions by means of some arithmetic geometry, some harmonic analysis (the Hardy-Littlewood method), and the odd digression or two involving alphabet soup and British dentistry. | |
| Time and Place: | 2:30 PM CW 102 |
| TUESDAY Mar. 30 : | Colloquium |
| Title: | tba |
| James Hughes
University of Virginia Abstract: tba | |
| Time and Place: | 2:30 PM CW 122 |
| Partially funded by the Midwest Topology Network NSF grant DMS-0844249. | |
| TUESDAY Apr. 06 : | Faculty Meeting |
| Title: | Tenured Faculty Meeting |
| . | |
| Time and Place: | 2:30 PM CW 122 |
| THURSDAY Apr. 08 : | COLLOQUIUM |
| Title: | tba |
| Mark Iwen
Abstract: tba | |
| Time and Place: | 2:30 PM CW 122 |
| THURSDAY Apr. 15 : | COLLOQUIUM |
| Title: | tba |
| Ernie Croot
Georgia Institute of Technology Abstract: tba | |
| Time and Place: | 2:30 PM CW 122 |
| TUESDAY Apr. 20 : | TWENTY-SECOND ISIDORE & HILDA DRESSLER LECTURE |
| Title: | tba |
| Bjorn Poonen
Abstract: tba | |
| Time and Place: | 2:30 PM CW 102 |
| TUESDAY Apr. 27 : | TWENTY-EIGHTH ANNUAL FRIENDS OF MATHEMATICS LECTURE |
| Title: | tba |
| Frank Sottile
Texas A&M University Abstract: tba | |
| Time and Place: | 2:30 PM CW 102 |
| TWENTY-EIGHTH ANNUAL FRIENDS OF MATHEMATICS AWARDS BANQUET | |
| Title: | tba |
| Frank Sottile
Texas A&M University Abstract: | |
| Time and Place: | 6:00 PM KSU Student Union, 2nd floor Concourse |
| DISTINGUISHED ALUMNUS CLASS OF 1965 | |
| Title: | On Being Prepared |
| Evan Stewart
Vice President and Chief Information Officer B/E Aerospace, Inc. Abstract: I am curious, what did it take for me to be prepared to enter the ‘real world’ 45 years ago and what does it take to prepare you for the next 45 years. What is the same, what will be different, and how will all of us be prepared for the challenges? | |
| Time and Place: | 6:00 PM KSU Student Union, 2nd floor Concourse |
| THURSDAY Apr. 29 : | COLLOQUIUM |
| Title: | tba |
| Ismar Volic
Wellesley College Abstract: tba | |
| Time and Place: | 2:30 PM CW 122 |
| Partially funded by the Midwest Topology Network NSF grant DMS-0844249. | |
Limit event types to: | All Types | COLLOQUIA | Undergraduate Lecture | Seminar | Student Events | Special | Faculty |