Colloquia and Seminars

Colloquia and Seminars

 

View Past Colloquia

Colloquium (Fridays at 3:00pm)

To receive schedule updates by email, contact the Colloquium Chair, Yunlong Feng at [email protected].
The colloquium usually meets on Friday at 3:00 pm in room ES-143 or online.


Orbital Integrals, Cyclic Cocycle, and Index Theory

Speaker: Xiang Tang (Washington University in St. Louis)
Friday, October 15, 2021
Abstract: Orbital integral is an integral transform on functions of a Lie group. It is an important tool in representation theory. In this talk, we will introduce a generalization of orbital integral and apply it to study invariant elliptic operators.


Deep Learning for the Discovery of Parsimonious Physics Models

Speaker: J. Nathan Kutz (University of Washington)
Friday, October 29, 2021
Abstract:
A major challenge in the study of dynamical systems is that of model discovery: turning data into reduced order models that are not just predictive, but provide insight into the nature of the underlying dynamical system that generated the data. We introduce a number of data-driven strategies for discovering nonlinear multiscale dynamical systems and their embeddings from data. We consider two canonical cases: (i) systems for which we have full measurements of the governing variables, and (ii) systems for which we have incomplete measurements. For systems with full state measurements, we show that the recent sparse identification of nonlinear dynamical systems (SINDy) method can discover governing equations with relatively little data and introduce a sampling method that allows SINDy to scale efficiently to problems with multiple time scales, noise and parametric dependencies. For systems with incomplete observations, we show that the Hankel alternative view of Koopman (HAVOK) method, based on time-delay embedding coordinates and the dynamic mode decomposition, can be used to obtain linear models and Koopman invariant measurement systems that nearly perfectly captures the dynamics of nonlinear quasiperiodic systems. Neural networks are used in targeted ways to aid in the model reduction process. Together, these approaches provide a suite of mathematical strategies for reducing the data required to discover and model nonlinear multiscale systems.​


Speaker: Carina Curto (Pennsylvania State University)
Friday, November 5, 2021
Title and abstract: TBA


Speaker: Saugata Basu (Purdue University)
Friday, December 3, 2021
Title and abstract: TBA

 

Algebra/Topology Seminar (Thursdays at 3:00pm)

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Analysis and Data Science Seminar (Tuesdays at 3:00pm)

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Applied Topology in Albany (ATiA) Seminar (Fridays at 11:00am)

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UAlbany Math Club

The Math Club is open to all undergrads and grad students. We meet about once a month, with events ranging from math presentations to events about career opportunities for undergrads and grads with math degrees.

Events are driven by member interests. There is a Facebook Group for discussion and scheduling of events. Your participation is most welcome. If you are interested, please join the UAlbany Math Club on myInvolvement.org.

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