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Series: Other Talks

This is a brief (15 minute) presentation of an undergraduate project that took place in the 2017 Fall semester.

Series: Other Talks

Lunch will be provided. The talk will be the first 25 minutes of the hour and then will be followed by discussion.

In a recent article to appear in the American Mathematical Mothly next year, we use the Lambert series generating function for Euler’s totient function to introduce a new identity for the number of 1’s in the partitions of n. New expansions for Euler’s partition function p(n) are derived in this context. These surprising new results connect the famous classical totient function from multiplicative number theory to the additive theory of partitions. We will define partitions and several variants of Euler's partition function in the talk to state our new results.

Series: Other Talks

CORRECTED DATE. NOTE: This is the first in a forthcoming series of colloquia in quantum mathematical physics that will take place this semester. The series is a spin-off of last year's QMath conference, and is intended to be of broad interest to people wanting to know the state of the art of current topics in mathematical physics.

We shall make an overview of the interplay between the geometry of tubular neighbourhoods of Riemannian manifold and the spectrum of the associated Dirichlet Laplacian. An emphasis will be put on the existence of curvature-induced eigenvalues in bent tubes and Hardy-type inequalities in twisted tubes of non-circular cross-section. Consequences of the results for physical systems modelled by the Schroedinger or heat equations will be discussed.

Series: Other Talks

NOTE: This is the first in a forthcoming series of colloquia in quantum mathematical physics that will take place this semester. The series is a spin-off of last year's QMath conference, and is intended to be of broad interest to people wanting to know the state of the art of current topics in mathematical physics.

Series: Other Talks

Introduction of the new Faculty, Postdocs, Academic Professionals and Staff.

Series: Other Talks

Georgia Tech is the site of the 2017 SIAM Conference on Applied
Algebraic Geometry (July 31 to August 4). This biennial meeting is an activity of the
Activity Group in Applied Geometry of SIAM, the Society for Industrial and Applied Mathematics. The SIAM Activity Group in Algebraic Geometry aims to bring together researchers who use algebraic geometry in industrial and applied mathematics.
"Algebraic geometry" is interpreted broadly to include at
least algebraic geometry, commutative algebra, noncommutative algebra,
symbolic and numeric computation, algebraic and geometric combinatorics,
representation theory, and algebraic topology.
These methods have already seen applications in biology, coding
theory, cryptography, combustion, computational geometry, computer
graphics, quantum computing, control theory, geometric design,
complexity theory, machine learning, nonlinear partial differential
equations, optimization, robotics, and statistics.
School of Mathematics professors Greg Blekherman, Anton Leykin, and Josephine Yu lead the local organizing committee.

Series: Other Talks

Dates: July 27-29 (Thu-Sat). Schedule will appear here.
These tutorials are intended to appeal to participants with any level of prior M2 experience. The topics will range from the basic functionality of M2 to modeling problems in the M2 language to more specialized tutorials on algebraic statistics and numerical algebraic geometry. We will also reserve ample time for practice and Q&A sessions.
Registration is free, but please fill the form here.

Series: Other Talks

First, we present a necessary and sufficient
conditions for accessibility of bilinear systems evolving on semisimple
(matrix) Lie groups. From this, we derive a controllability criterion
for parallel connections of bilinear systems which gets a if-and-only-if
condition in the case of compact Lie groups. Finally, we present a key
application from quantum control.

Series: Other Talks

The TraX project
is an inter-university effort, involving researchers from 8
universities, aimed at elucidating the geometric structures in phase
space which determine the speed and nature of chemical reactions and how
they are affected by external influences such as light pulses or noise.
The effort is highly interdisciplinary and it involves Mathematics
(Dynamical Systems), Numerical Computations, Physics, and Chemistry all
working together to understand experimental phenomena and make
predictions.
The project has been funded by the European Research Council,
Mathematics Division for 4 years and it will sponsor visits of European
scientists to GT and provide opportunities for graduate students to
collaborate in this area. http://traxkickoff.gatech.edu/

Series: Other Talks

Rhythm is a great thing. It therefore follows that several rhythms at
once is even greater. Learn 2:3, 3:4, and 4:5, and a little bit about fractions.
Polyrhythms when sped up, lead to harmony and scales. Slower polyrhythms
happen in celestial mechanics. A little bit of music, a little bit of
mathematics.