Fundamentals for the Theory of Atoms and Related Topics, October 7–9, 2026
A Three-Day School and Research Workshop
October 7–9, 2026
For the full schedule please visit: https://scgp.stonybrook.edu/archives/48906
Speaker: Alexander Abanov
Title: Emptiness formation in a quantum fluid: a hydrodynamic approach
Abstract: How likely is a macroscopic empty interval in a quantum fluid? I will discuss recent progress in computing this rare fluctuation probability in the Lieb-Liniger gas (arXiv:2608.26640) and an imaginary-time hydrodynamic approach in which Bethe-ansatz dressing is used to solve a mixed boundary-value problem for the hydrodynamic instanton.
Reference: Boris A. Khanikati and Alexander G. Abanov, arXiv:2608.26640 (2026)
Emptiness formation in the Lieb-Liniger gas: hydrodynamic instantons and a conjectured rate function
Last day to submit an approved adjustment form for selected AMS, MAT, MAP and PHY courses to the Office of Registrar.
Speaker: Jeremy Kahn
Abstract:
It has been known for forty years that the local connectivity of the Mandelbrot set M reduces to showing that there is a unique z |-> z^2 + c that is infinitely renormalizable with a given sequence of types. This in turn reduces, at least morally, to controlling the geometry at all scales for each such dynamical system. We’ll review an ontology of types and then outline work completed and in progress on some cases of sequences of types, by subsets of authors taken from Misha, Dima, Alex Kapiamba, and the speaker.
Public holiday
For the full schedule of talks please visit: https://scgp.stonybrook.edu/archives/49051
Speaker: Dmitry Kaledin
Abstract:
In non-commutative algebraic geometry, an algebraic variety is
replaced by a DG algebra A, and the role of de Rham cohomology is played by periodic cyclic homology HP(A). It is a standard expectation that all the additional motivic-type structure on de Rham cohomology should also exist in non-commutative generality. There has been a lot of progress on
this in the p-adic situation, but the archimedian case is much more problematic. The missing ingredient is complex conjugation. While a Hodge filtration on periodic cyclic homology exists by definition, we also expect that HP(A) for a good A over C carries a functorial R-structure, and it is not clear at all where it might come from. I am going to present a proposal towards this based on L^2-completed version
of HP. This is still work-in-progress, but the proposal looks viable, so hopefully, this won't be a complete waste of audience's time.
Speaker: Oliver Edtmair
Public Lecture: THE ALTGELD MATH MODELS
by Sheldon Katz, Professor of Mathematics, University of Illinois Urbana-Champaign
4:30 pm: Reception—Simons Center Gallery and Lobby
5:00 pm: Lecture—SCGP Room 102