Shan Zhao
Colloquium – Frédéric Gibou (University of California, Santa Barbara)
ZoomTitle: Free Boundary Problem: Challenges and Applications Abstract: There exists a wide range of modern and important physical and Biological phenomena that are described as free boundary problems. The difficulty in solving them stems from the fact that the solution depends on a boundary that evolves in time, at which boundary conditions must be imposed
Colloquium – Frederic Gibou (University of California at Santa Barbara)
ZoomTitle: Free Boundary Problem: Challenges and Applications Abstract: There exists a wide range of modern and important physical and Biological phenomena that are described as free boundary problems. The difficulty in solving them stems from the fact that the solution depends on a boundary that evolves in time, at which boundary conditions must be imposed
Colloquium – Yuan Lou (Ohio State University)
ZoomTitle: Basic reproduction number and principal eigenvalue Abstract: Basic reproduction number is a dimensionless constant which is used in epidemiology to determine if an emerging infectious disease can spread. Principal eigenvalue, a key concept in spectral theory, is used to reflect certain properties of matrices or differential operators. In this talk we will discuss some
Colloquium – Wilfrid Gangbo, UCLA
ZoomTitle: Analytical Aspects of Mean Field Games Abstract: We highlight the isometry between the set of probability measures and the quotient of a Hilbert space. This allows to see that some important operators, such as the common noise operator in Mean Field Games, are nothing but partial Laplacians. We introduce to the so-called master equation
Colloquium – David Wright, Washington University St. Louis
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: A Survey of the Illustrious Jacobian Conjecture Abstract: The celebrated Jacobian Conjecture asserts: Let F be a polynomial map from C^n to C^n. If the jacobian determinant of F is everywhere non-vanishing, then F is a polynomial automorphism. This conjecture, now 82 years old and still unsolved for n>1, can be viewed as a
Keith Promislow’s Colloquium
206 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesBob Pego’s Colloquium
206 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesUly Alvarez’s Colloquium
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Cluster Algebras and Quiver Grassmannians Abstract: Since their conception, cluster algebras have made appearances in different fields such as algebra, combinatorics, geometry, and topology. For example, a class of objects from representation theory called quiver Grassmannians have been useful in describing the generators of cluster algebras using the Euler characteristic. This has motivated the
Abba Ramadan’s Colloquium
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Stability of Nonlinear Waves in Hamiltonian PDE Abstract: Nonlinear dispersive wave equations arise as reduced mathematical models from governing equations of mathematical physics, such as the Navier-Stokes and Maxwell equations. These reduced models combine the leading-order balance between nonlinear and dispersive effects present in wave propagation. The existence and stability of coherent structures such