PIMS Scientific Session
Topic
This is a special session organized as part of a visit to PIMS by Christophe Besse, Director of INSMI/CNRS Mathematics, and Frederic Herau, Deputy Director, International Relationships, INSMI/CNRS Mathematics.
The talks will cover work facilitated by funding from the CNRS or collaborations with CNRS-affiliated researchers.
Speakers
Details
12:30 - 1:30 PM: Lunch/Coffee/Tea/Snacks
1:30 - 1:35: Opening Remarks
1:35 - 1:50: Jonathan Hermon
2:05 - 2:20: Marni Mishna
Differential Transcendence and Combinatorics
When does a series satisfy an algebraic differential equation? Techniques to answer this have been developed since the 19-th century. Combinatorics provides an intuitive framework to study power series, and to consider this question. Solutions to certain kinds of iterative equations (like Mahler equations) that additionally satisfy an algebraic differential equation must also be very simple, such as Taylor series of a rational function. In spring 2023 Lucia Di Vizio (CNRS, Versailles) was a CNRS-PIMS visitor to SFU. Together, with results from Gwladys Fernandes we showed that differentially algebraic series solutions to a class of general iterative equations have a similar simple structure. We applied this to series from combinatorics like the Green’s function for the Sierpinski fractal graph, counting series for families of complete trees and series from pattern avoiding permutations giving simple proofs of differential transcendence. This strategy has subsequently been applied to entire classes of fractal graphs with consequences on characterizing fractals with certain spectral properties.
2:20 - 2:25: Khanh Dao Duc
Building new metrics for analyzing large biological shape data
I'll give a brief overview of how the PIMS-CNRS visiting student program allowed me to recruit French students to work on various problems motivated from biological applications, with the development of methods from optimal transport for shape analysis.
2:35 - 3:00: Coffee Break
3:00 - 3:15: Anthony Wachs
Fluid mechanics of multiphase systems
I will shortly discuss my research group's work on the numerical modelling of particle-laden flows and explain how this research effort has been supported over the years by various PIMS-CNRS programs as well as my existing long term connections with the French research ecosystem.
3:15 - 3:30: Paul Vigneaux
Fluid connections: yield stress flows
We will present our scientific collaborations in the field of applied mathematics and scientific computing with our colleagues at UBC, thanks to the CNRS Mathematics' délégations (one-year residency at PIMS IRL).
3:30 - 3:45: Sarah Dijols
3:45 - 4:00: Sabin Cautis
The derived category of the commuting stack
I will briefly discuss ongoing work with Tudor Padurariu on a fundamental geometric object that lies at the intersection of algebraic geometry, representation theory and mathematical physics.