Events
Calendar of Events
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Kwangil Koh Lecture: Amie Wilkinson, Illuminating a Mathematical Landscape
Kwangil Koh Lecture: Amie Wilkinson, Illuminating a Mathematical Landscape
Turn on a light in the middle of a room: Is every spot illuminated? If the room is a complicated labyrinth, then probably not, but what if the walls of the room are mirrors? Amie Wilkinson of the University of Chicago will deliver the Department of Mathematics Kwangil Koh Lecture on Mathematics in Our Time through…
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Alex Chandler, NC State, Spectral Sequences Working Seminar
Alex Chandler, NC State, Spectral Sequences Working Seminar
Spectral sequences in Khovanov homology.
Alexander Kiselev, Duke University, Small scale formation in ideal fluids
Alexander Kiselev, Duke University, Small scale formation in ideal fluids
The incompressible Euler equation of fluid mechanics describes motion of ideal fluid, and was derived in 1755. In two dimensions, global regularity of solutions is known, and double exponential in time upper bound on growth of the derivatives of solution goes back to 1930s. I will describe a construction of example showing sharpness of this…
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Sherli Koshy-Chenthittayil, University of Connecticut, Mathematical modeling in biological scenarios
Sherli Koshy-Chenthittayil, University of Connecticut, Mathematical modeling in biological scenarios
My research has been in two broad areas namely mathematical biology and disability studies. This talk will touch upon three of my projects in mathematical biology and one project in disability studies. The mathematical biology section will cover the work I have done in investigating permanence (species in a system are at a safe threshold…
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Jonathan Hanselman, Princeton, The cosmetic surgery conjecture and Heegaard Floer homology
Jonathan Hanselman, Princeton, The cosmetic surgery conjecture and Heegaard Floer homology
The cosmetic surgery conjecture states that no two surgeries on a given knot produce the same 3-manifold (up to orientation preserving diffeomorphism). Floer homology has proved to be a powerful tool for approaching this problem; I will survey partial results that are known and then show that these results can be improved significantly. If a…
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Jeaman Ahn, Kongju National University, Multivariate Hermite Interpolation via Explicit Groebner Basis
Jeaman Ahn, Kongju National University, Multivariate Hermite Interpolation via Explicit Groebner Basis
Multivariate Hermite interpolation problem asks to find a "small" polynomial that has given values of several partial derivatives at given points. It has numerous applications in science and engineering. Thus, naturally, it has been intensively studied, resulting in various beautiful ideas and techniques. One approach is as follows. (1) Chooses a basis of the vector space of interpolating polynomials.…
3 events,
Atman Vachhani, Mathematics IT, Today’s safe computing practices
Atman Vachhani, Mathematics IT, Today’s safe computing practices
This Wednesday, April 10th, from 11AM-12PM in SAS Hall room 4201, Atman Vachhani from Mathematics IT will be leading an interactive seminar on today's safe computing practices. You'll have the opportunity to walk through some basic, and some not so basic ways to make sure you and your data stay safe on the open web. Regardless…
Wen Shen, Penn State University, Scalar Conservation Laws with Discontinuous and Regulated Flux
Wen Shen, Penn State University, Scalar Conservation Laws with Discontinuous and Regulated Flux
Conservation laws with discontinuous flux functions arise in various models. In this talk we consider solutions to a class of conservation laws with discontinuous flux, where the flux function is discontinuous in both time and space, but regulated in the two variables. Convergence and the uniqueness of the vanishing viscosity limit for the viscous equation…
Chris Scaduto, Simons Center for Geometry & Physics, Instantons and lattices of smooth 4-manifolds with boundary
Chris Scaduto, Simons Center for Geometry & Physics, Instantons and lattices of smooth 4-manifolds with boundary
Given a 3-manifold Y, what are the possible definite intersection forms of smooth 4-manifolds with boundary Y? Donaldson's theorem says that if Y is the 3-sphere, then all such intersection forms are standard integer Euclidean lattices. I will survey some new progress on this problem, for other 3-manifolds, that comes from instanton Floer theory.
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Anila Yadavalli, NC State, A curvy way to send messages
Anila Yadavalli, NC State, A curvy way to send messages
Need a more private way of sending notes to your friends during class? Elliptic Curve Cryptography is a method of sending secure messages using tools from algebra and geometry. In this talk, I will introduce some of the ideas behind this encryption scheme originally introduced by Diffie and Hellman. This talk will be accessible to…
3 events,
Sergey Fomin, University of Michigan, Morsifications and Mutations
Sergey Fomin, University of Michigan, Morsifications and Mutations
I 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,…
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Juan Villarreal, Virginia Commonwealth University, Logarithmic singularities in vertex algebras
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…
3 events,
Pierre Degond, Imperial College, London, Mathematical models of collective dynamics and self-organization
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
Jacek Brodzki, Centre for Geometry, Topology, and Applications, Southampton, Persistence in action: quantifying the topology of lungs
Topology 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
Aida Maraj, University of Kentucky, Quantitative Properties of Ideals arising from Hierarchical Models
We 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…
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Peter Wolenski, Louisiana State University, Fully convex Bolza problems with state constraints and impulses
Peter Wolenski, Louisiana State University, Fully convex Bolza problems with state constraints and impulses
In 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).
Jen Hom, Georgia Tech, Heegaard Floer and homology cobordism
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.
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Boris Mordukhovich, Wayne State University, Criticality of Lagrange Multipliers in Conic Programming with Applications to Superlinear Convergence of SQP
Boris Mordukhovich, Wayne State University, Criticality of Lagrange Multipliers in Conic Programming with Applications to Superlinear Convergence of SQP
His 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…
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Aram Dermenjian, University of Quebec at Montreal, Facial weak order in hyperplane arrangements
Aram 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…
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John Perry, University of Southern Mississippi, The dynamic approach to Gröbner basis computation
John Perry, University of Southern Mississippi, The dynamic approach to Gröbner basis computation
Most 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…
3 events,
Brown Bag Lunch – moved to SAS 3281
Brown Bag Lunch – moved to SAS 3281
Join 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
Oleksandr Misiats, Virginia Commonwealth University, Patterns around us: a calculus of variations prospective
Crumples 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…
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Math Honors Undergraduate Research Presentation: Geneva Collins, Erin Beaton, Natalie Cody and Ethan Dudley, NC State
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…
3 events,
Yuanan Diao, Department of Mathematics and Statistics, UNC Charlotte, Braid Index Bounds Ropelength From Below
Yuanan Diao, Department of Mathematics and Statistics, UNC Charlotte, Braid Index Bounds Ropelength From Below
For an un-oriented link K, let L(K) be the ropelength of K. It is known that in general L(K) is at least of the order O((Cr(K))3/4), and at most of the order O(Cr(K) ln5 (Cr(K)) where Cr(K) is the minimum crossing number of K. Furthermore, it is known that there exist families of (infinitely many) links with the property…
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Math Teachers’ Circle Workshop: Arvind Saibaba, Medical Imaging and other real life uses for mathematics
Math Teachers’ Circle Workshop: Arvind Saibaba, Medical Imaging and other real life uses for mathematics
From ultrasound scanners used before birth to environmental sensors that monitor the pathways of harmful substances, imaging technologies play an important role in human lives. In this workshop, I will explain some of the mathematical ideas behind image reconstructions: how they work, what their limitations are, and what uncertainties are associated with interpreting the images generated by imaging technologies. Bio: Arvind…