XMath Physics Day

Liste des Contributions

1. From Categorical Enumerative Invariants towards Twisted Holography

M. Jakob Ulmer (Paris 13)

17/12/2025 10:00

We will introduce (closed) Categorical Enumerative Invariants (CEI), developed by Kontsevich, Costello, Caldararu-Tu, mentioning how they are an algebraic generalisation of Kodaira-Spencer gravity (BCOV theory). Next, we describe the algebra relevant to the theory of open CEI, which is related to Chern-Simons theory, and highlight some results obtained by the speaker. Lastly, we comment on...

4. BPS counting and Resurgence of Topological Strings

M. Simon Douaud (LPENS)

17/12/2025 11:00

The Topological String free energy is an asymptotic perturbative series associated with a specific geometry, typically a Calabi-Yau manifold or a spectral curve. This series encodes important geometric invariants of the corresponding geometry. Physically, the topological string free energy can be interpreted as a sum of amplitudes involving super-symmetric (BPS) particles.
The theory of...

5. Large orders and Resurgence in Functional Renormalization

M. Mikhail Semeykin (LPENS)

17/12/2025 13:30

The resummation of perturbative expansions of Quantum Field Theories has been studied extensively in the case when there are only a few coupling constants, with no results yet for functional field theories (FFT), where all powers of interaction remain relevant under the renormalization group flow.
We address this gap by examining the large-order behaviour (LOB) of a functional field theory...

2. A Topological Recursion Algorithm for WKB Solutions

Mme Irene Ren (IHES)

17/12/2025 14:30

We develop a version of the Topological Recursion (TR) algorithm for WKB solutions of polynomial linear differential equations dependent on a parameter $\hbar$, focusing on cases where the associated spectral curve admits only simple ramification points. This new algorithm hinges on the geometric description of a specific, universally defined orbit of an infinite-dimensional Lie group acting...

3. Resurgent integrals

M. Campbell Wheeler (IHES)

17/12/2025 16:00

I will discuss a framework of resurgence using constructible sheaves and how algebraic exponential integrals can be described in this framework. Then I will discuss generalization leading to applications for knots.