Analysis Seminar- Benjamin Hayes, University of Virginia
Local weak* convergence and the entropy of algebraic actions
4:00PM, Wed Sep 26 2018, 150 Math Bldg.
I will discuss the entropy of probability measure-preserving actions of sofic groups, due to Bowen and Kerr-Li. I will focus on the case when the action is by automorphisms of a compact metrizable group (these are called algebraic actions). I will give an abstract criterion, in terms of measures on model spaces, which guarantees that the measure-theoretic entropy and topological entropy agree. Knowledge of sofic groups and sofic entropy will not be assumed.
Algebra Seminar- Changlong Zhong, University at Albany
On the K-theoretic stable basis of Springer resolutions
4:00PM, Mon Oct 1 2018, 150 Mathematics Bldg.
Stable bases for various cohomology theories (singular cohomology, K-theory, and elliptic cohomology) were defined by Maulik and Okounkov. They are closely related with Hecke algebras. By using the twisted group algebra of Kostant and Kumar, I will give an algebraic definition of K-theoretic stable bases. Then I will talk about the formal root polynomial method, which is used to compute the restriction formula of stable bases. This is joint work with Changjian Su and Gufang Zhao.
Applied Math Seminar- John Medaglia, Drexel University
The Foundations and Frontiers of Cognitive Neuroengineering
Tuesday, October 2, 2018, 150 Math Bldg.
Cognitive neuroengineering is the intersection of cognitive neuroscience and neuroengineering. In cognitive neuroscience, we use many methods to measure real-time cognitive and neural activity. In neural engineering, we can stimulate and monitor changes in neurophysiological and cognitive activity in real-time contexts. In tandem, time-efficient algorithms are available to rapidly model input-output associations between brain stimulation, neural activity and measured behavior. Given these technologies, we can use conventional and emerging approaches from control engineering – a branch of systems engineering – to address pervasive problems in neuromodulation in experimental and clinical contexts. We can draw from cognitive neuroscience, engineering, and network science to confront these challenges.
Kiyoshi Igusa (Brandeis)
4:00PM, Fri Oct 5 2018, 122 Math
Debashish Goswami Indian Statistical Institute
(No) quantum symmetry for compact connected smooth manifolds
4:00PM, Mon Oct 8 2018, 150 Mathematics Bldg.
I 'll sketch the proof of the following theorem: there is no genuine
(not of the form C(G) for a compact group) compact quantum group which
can act faithfully and smoothly on C(M), where M is a compact
connected smooth manifold. The proof makes somewhat unexpected use of
some classical probabilistic techniques, besides the usual tools from
operator algebra and differential geometry.
Mahan Mj (Tata Institute/Fields Institute)
4:00PM, Fri Oct 12 2018, Math 122
Algebra Seminar- Gus Schrader, Columbia University
4:00PM, Mon Oct 15 2018, 150 Mathematics Bldg.
Jing Tao (University of Oklahoma/Fields Institute)
4:00PM, Fri Oct 19 2018, 122 Math
Algebra Seminar-Vasu Tewari, University of Pennsylvania
4:00PM, Mon Nov 5 2018, 150 Mathematics Bldg
Algebra Seminar- Naihuan Jing, North Carolina State University
4:00PM, Mon Nov 12 2018, 150 Mathematics Bldg
Bülent Tosun (Alabama)
4:00PM, Fri Nov 16 2018, 122 Math
Jacob Russell (CUNY)
4:00PM, Fri Nov 30 2018, 122 Math