Events
Tea and Cookies
SAS 4104Sergey Fomin, University of Michigan, Morsifications and Mutations
SAS 1102I will discuss a new and somewhat mysterious connection between singularity theory and cluster algebras, more specifically between the topology of isolated singularities of plane curves and the mutation equivalence of quivers associated with their morsifications. The talk will assume no prior knowledge of any of these topics. This is joint work with Pavlo Pylyavskyy,…
Juan Villarreal, Virginia Commonwealth University, Logarithmic singularities in vertex algebras
In this talk we want to consider a different kind of singularities in logarithmic vertex algebras. In vertex algebras many properties arise from the locality of their fields. In particular, this implies the expansion of their brackets into a base of delta function and its derivatives. On the other hand some examples in physics lead us to consider some non-local…
Pierre Degond, Imperial College, London, Mathematical models of collective dynamics and self-organization
In this talk, I will review some mathematical challenges posed by the modeling of collective dynamics and self-organization. Then, I will focus on two specific problems, first, the derivation of fluid equations from particle dynamics of collective motion and second, the study of phase transitions and the stability of the associated equilibria.
Jacek Brodzki, Centre for Geometry, Topology, and Applications, Southampton, Persistence in action: quantifying the topology of lungs
Cox 306Topology is dedicated to the study of shapes, and its starting point is an easy-sounding question: How can I tell if two objects are similar? While humans are very adept at distinguishing a large variety of shapes, it is not always easy to say precisely what makes this object similar to or distinct from that…
Aida Maraj, University of Kentucky, Quantitative Properties of Ideals arising from Hierarchical Models
SAS 4201We will discuss hierarchical models and certain toric ideals as a way of studying these objects in algebraic statistics. Some algebraic properties of these ideals will be described and a formula for the Krull dimension of the corresponding toric rings will be presented. One goal is to study the invariance properties of families of ideals…
Jen Hom, Georgia Tech, Heegaard Floer and homology cobordism
We show that the three-dimensional homology cobordism group admits an infinite-rank summand. It was previously known that the homology cobordism group contains an infinite-rank subgroup and a Z-summand. The proof relies on the involutive Heegaard Floer homology package of Hendricks-Manolescu and Hendricks-Manolescu-Zemke. This is joint work with I. Dai, M. Stoffregen, and L. Truong.
Peter Wolenski, Louisiana State University, Fully convex Bolza problems with state constraints and impulses
SAS 4201In this talk, we shall review the Hamilton-Jacobi theory for A Fully Convex Bolza (FCB) problems when the data has no implicit state constraints and is coercive, in which case the minimizing class of arcs are Absolutely Continuous (AC).
Boris Mordukhovich, Wayne State University, Criticality of Lagrange Multipliers in Conic Programming with Applications to Superlinear Convergence of SQP
SAS 4201His talk concerns the study of criticality of Lagrange multipliers in variational systems that have been recognized in both theoretical and numerical aspects of optimization and variational analysis. In contrast to the previous developments dealing with polyhedral KKT systems and the like, we now focus on general nonpolyhedral systems that are associated, in particular, with…
Retirement Reception for Dr. Griggs
SAS 4104Aram Dermenjian, University of Quebec at Montreal, Facial weak order in hyperplane arrangements
We discuss the facial weak order, a poset structure that extends the poset of regions on a central hyperplane arrangement to the set of all faces of the arrangement which was first introduced on the braid arrangements by Krob, Latapy, Novelli, Phan and Schwer. We provide various characterizations of this poset including a global one, a local one, one using…
Brown Bag Lunch
SAS 4201John Perry, University of Southern Mississippi, The dynamic approach to Gröbner basis computation
SAS 4201Most algorithms to compute a Gröbner basis are “static”, inasmuch as they require as input both a set of polynomials and a term ordering, and preserve the term ordering throughout the computation. This talk presents ongoing work on “dynamic” Buchberger algorithms. First described by Sturmfels and Caboara, dynamic algorithms require only a set of polynomials…
Brown Bag Lunch – moved to SAS 3281
SAS 3281Join us tomorrow Wednesdays from 12:00-1:00 in the math graduate lounge for our weekly brown bag lunch. As a reminder all are welcomed including undergraduate students!
Oleksandr Misiats, Virginia Commonwealth University, Patterns around us: a calculus of variations prospective
SAS 4201Crumples in a sheet of paper, wrinkles on curtains, cracks in metallic alloys, and defects in superconductors are examples of patterns in materials. A thorough understanding of the underlying phenomenon behind the pattern formation provides a different prospective on the properties of the existing materials and contributes to the development of new ones. In my talk…
Math Honors Undergraduate Research Presentation: Geneva Collins, Erin Beaton, Natalie Cody and Ethan Dudley, NC State
Geneva Collins Title : Automatic Geometric Theorem Proving: Sangaku From an Algebraic PerspectiveAbstract: During the Edo period (1603-1867 CE) Japan was almost completely closed off from the rest of the world and developed its own mathematical tradition called wasan. Part of this tradition was to hang tablets, known as sangaku, in the eaves of a…