Sep 19

Analysis Seminar
Yi Wang, UB​
Asymptotic stable division property and the Arveson-Douglas Conjecture.
4:00PM, Wed Sep 19 2018, 150 Math Bldg.

The Arveson-Douglas Conjecture concerns essential normality of submodules of the Bergman module. We will define the asymptotic stable division property and show that with additional mild conditions, the asymptotic stable division property implies essential normality. We will also apply this result on certain submodules. This gives us a unified proof of most known results on the Arveson-Douglas Conjecture. The proof is based on an inequality of a new type, a covering lemma and some local analysis.

Sep 20

Special Interdisciplinary Seminar- Ludwik Dabrowski (SISSA, Trieste)
"Almost commutative geometry of the Standard Model"
3:00PM, Thu Sep 20 2018, 150 Math Bldg.

A non-commutative C*-algebra is usually thought
of as the algebra of continuous functions on a "quantum space".
A. Connes encodes also smooth and metric structures
in terms of a certain analogue of the Dirac operator.
I will recall two natural Dirac-type operators on usual manifolds,
and present their analogues for the "almost commutative" algebra
that describes the Standard Model of fundamental particles in physics.

Oct 1

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.

Oct 2

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.

Oct 5

G&T Seminar
Kiyoshi Igusa (Brandeis)
4:00PM, Fri Oct 5 2018, 122 Math

Oct 8

Algebra Seminar
Debashish Goswami Indian Statistical Institute

4:00PM, Mon Oct 8 2018, 150 Mathematics Bldg.

TBA

Oct 12

G&T Seminar
Mahan Mj (Tata Institute/Fields Institute)
4:00PM, Fri Oct 12 2018, Math 122

Oct 15

Algebra Seminar- Gus Schrader, Columbia University

4:00PM, Mon Oct 15 2018, 150 Mathematics Bldg.

TBA

Oct 19

G&T Seminar
Jing Tao (University of Oklahoma/Fields Institute)
4:00PM, Fri Oct 19 2018, 122 Math

Nov 5

Algebra Seminar-Vasu Tewari, University of Pennsylvania

4:00PM, Mon Nov 5 2018, 150 Mathematics Bldg

TBA

Nov 12

Algebra Seminar- Naihuan Jing, North Carolina State University

4:00PM, Mon Nov 12 2018, 150 Mathematics Bldg

TBA

Nov 16

G&T Seminar
Bülent Tosun (Alabama)
4:00PM, Fri Nov 16 2018, 122 Math

Nov 30

G&T Seminar
Jacob Russell (CUNY)
4:00PM, Fri Nov 30 2018, 122 Math