Events
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Differential Equations and Nonlinear Analysis Seminar: Olivier Glass, Université Paris-Dauphine, Small solids in Euler flows
SAS 4201In this talk, I will discuss the evolution of rigid bodies in a perfect incompressible fluid, and the limit systems that can be obtained as the bodies shrink to points. The model is as follows: the fluid is driven by the incompressible Euler equation, while the solids evolve according Newton’s equations under the pressure force on…
Computational and Applied Mathematics Seminar: Saviz Mowlavi, MERL, Model-based and data-driven prediction and control of spatio-temporal systems
ZoomSpatio-temporal dynamical systems, such as fluid flows or vibrating structures, are prevalent across various applications, from enhancing user comfort and reducing noise in HVAC systems to improving cooling efficiency in electronic devices. However, these systems are notoriously hard to optimize and control due to the infinite dimensionality and nonlinearity of their governing partial differential equations…
Stochastics Seminar: Nick Cook, Duke, Branching Brownian motion and the Road-Field Model
SAS 4201The Fisher-KPP equation was introduced in 1937 to model the spread of an advantageous gene through a spatially distributed population. Remarkably precise information on the traveling front has been obtained via a connection with branching Brownian motion, beginning with works of McKean and Bramson in the 70s. I will discuss an extension of this probabilistic…
Applied Math Graduate Student Seminar: Walker Powell, Sensitivity Analysis of Attracting Dynamical Systems via Optimal Transport of Invariant Measures
SAS 4201Determining the sensitivity of model outputs to input parameters is an important precursor to developing informative parameter studies, building surrogate models, and performing rigorous uncertainty quantification. A prominent class of models in many applications is dynamical systems whose trajectories lie on or near some attracting set after a sufficiently long time, and many quantities of…
Colloquium: Nikolaos Kapouleas, Brown University, Minimal Surface Doublings and Their Geometry
SAS 4201Minimal surfaces are fundamental geometric objects which have been studied intensively since the 1700's. Classes of minimal surfaces of particular interest are the complete embedded ones in Euclidean space, closed (compact boundaryless) embedded in the round three-sphere, free boundary compact embedded ones in the unit Euclidean three-ball, and self-shrinkers of the mean curvature flow. Since…
Symbolic Computation Seminar: Sriram Gopalakrishnan, Sorbonne Université, The arithmetic complexity of computing Grobner bases of determinantal systems
SAS 4201Determinantal systems are systems of polynomial equations which encode a rank deficiency of a given matrix with polynomial entries over the solution set to other polynomial equations. Such systems arise in a number of areas of computational mathematics such as polynomial optimization, real algebraic and enumerative geometry and engineering sciences such as robotics and biology.…
Geometry and Topology Seminar: Irina Kogan, NC State, An Introduction to Computational Invariant Theory (Part I)
SAS 4201Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types of invariants and designing methods and algorithms to compute them remains an active area of ongoing research with an abundance of applications, in particular, to…
Algebra and Combinatorics Seminar: Greg Muller, University of Oklahoma, Friezes of Dynkin type
SAS 4201A "frieze" is an infinite strip of numbers satisfying certain determinantal identities, or any one of several generalizations of this idea. In this talk, I will give an introduction to friezes whose shape is determined by a Dynkin diagram (motivated by their exceptional properties as well as connections to representation theory and cluster algebras). One…
Special Event: Staff Awards for Excellence
Witherspoon Student CenterIt is with great enthusiasm that I have the opportunity to announce to the College this year's nominees for the Staff Awards for Excellence. Your colleagues, listed below, have been nominated by supervisors and peers for the most prestigious honor bestowed upon non-faculty employees. This award recognizes the outstanding accomplishments and contributions of individual employees, above…
Departmental Event: Mathematics Awards and Tea
SAS 4104End of year awards and tea.
Differential Equations and Nonlinear Analysis Seminar: Aris Daniilidis, TU Wien, Slope determination: from convex to Lipschitz continuous functions
ZoomA convex continuous function can be determined, up to a constant, by its remoteness (distance of the subdifferential to zero). Based on this result, we discuss possible extensions in three directions: robustness (sensitivity analysis), slope determination (in the Lipschitz framework) and general determination theory. Zoom meeting: Link
Computational and Applied Mathematics Seminar: Jian-Guo Liu, Duke University, Optimal Control for Transition Path Problems in Markov Jump Processes
SAS 4201Transition paths connecting metastable states are significant in science and engineering, such as in biochemical reactions. In this talk, I will present a stochastic optimal control formulation for transition path problems over an infinite time horizon, modeled by Markov jump processes on Polish spaces. An unbounded terminal cost at a stopping time and a running…
Math Honors Presentation Session: Kelsey Hanser, Mathew Kushelman and Logan Martyn
SAS 22031. Kelsey Hanser Title : Greedy Kohnert Posets Abstract : K-Kohnert polynomials form a large family of polynomials which generalize Lascoux polynomials. Each K-Kohnert polynomial encodes a certain collection of diagrams which is formed from an initial seed diagram by applying what are called “Kohnert" and “ghost moves." In particular, Kohnert polynomials are the restrictions…
Geometry and Topology Seminar: Irina Kogan, NC State, An Introduction to Computational Invariant Theory (Part II)
SAS 4201Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types of invariants and designing methods and algorithms to compute them remains an active area of ongoing research with an abundance of applications, in particular, to…
Mathematics Department Commencement Ceremony
McKimmon Center, Raleigh NCPlease save the date for the Department of Mathematics Spring 2024 Graduation Ceremony. Commencement starts at 5:30PM, with guest seating starting at 5:00PM.
GAMMA (Games in Applied Math, Modeling, and Analysis)
SAS 2235Discover the beauty of mathematics and its wide applicability and power in everyday life! Grade Level: High School Students Schedule of Events: 11-11:15 am Drop Off 11:15-11:30 am Introductions 11:30-12:30 pm Applied Math and Math Modeling 12:30-1:15 pm Lunch 1:15-2:15 pm Control and Optimization in Biomedicine 2:15-2:45 pm Closing Remarks and Snacks 2:45-3 pm…
Algebra and Combinatorics Seminar: Apoorva Khare, Indian Institute of Science (Bangalore, India), Schur polynomials: from smooth functions to symmetric function identities
SAS 1102Cauchy's determinantal identity (1840s) expands via Schur polynomials the determinant of the matrix f, where f(t) = 1/(1-t) is applied entrywise to the rank-one matrix u v^T = (u_i v_j). This theme has resurfaced in the 2010s in analysis (following a 1960s computation by Loewner), in the quest to find polynomials p(t) with a negative coefficient that entrywise preserve…
Biomathematics Seminar: Orlando Arguello-Miranda, Department of Plant and Microbial Biology at NC State, Deep learning and the yet-to-be-discovered mathematical principles of biology
Cox 306Biology is defined by non-linear reactions caused by numerous molecular components interacting inside living cells. The complexity of such systems has limited classical experimental approaches in their capacity to measure living biological networks. This talk will explore how new computational tools derived from artificial intelligence are currently applied to study complex biological networks in living…