Calendar

“TTbar” deformed 2d quantum field theory is a non-local theory in which Minkowski space is deformed in a state-dependent but consistent manner. For a massive theory this is equivalent to each particle acquiring a width proportional to its mass in its rest frame, giving rise to simple CDD factors dressing the $S$–matrix, but for deformed conformal field theories the spectrum becomes quite complicated, and the question of modular invariance of the torus partition function is non-trivial. I will show that this leads to a theory of TTbar deformed modular forms in general. Maass forms turn out to play an important role as eigenforms of the deformation.

The Math Picture Language seminar will be held at 9:30 a.m. Boston time.
Click the link for a Zoom Link for Tuesday Math Picture Language Seminars.
Recorded seminars can be viewed on the Mathematical Picture Language YouTube channel.

Inspired from ideas in topology, Koszul modules and the associated resonance varieties turned out to have important algebro-geometric applications for instance to (i) Green’s Conjecture on syzygies of canonical curves, (ii) stabilization of cohomology of projective varieties in arbitrary characteristics and (iii) Chen invariants of hyperplane arrangements. I will discuss new developments related to this circle of ideas obtained in joint work with Aprodu, Raicu and Suciu.

Finding, applying and learning from the appropriate frameworks to use as lenses for educational research is an important task. In this talk I will share the three theoretical frameworks that I have used to study entry-level mathematics endeavors including: widespread change at a university (that involved implementation of TA training, course coordination, and many other efforts); leaders selected for funded efforts to incorporate active learning; and viability of mathematics tutoring centers. While I will give specific examples from my own research, each of the frameworks could be used to study a variety of university entities.