Workshop Optimal Transport and Noise: OT meets (S)PDEs

16-18 March 2026, Weierstrass Institute, Berlin

Venue

The workshop will take place in the ESH Lecture Room on the ground floor of the main building of the Weierstrass Institute.

Overview

The workshop explores connections between optimal transport, rough analysis, and (S)PDEs. Optimal transport provides a powerful geometric and variational framework to quantify distances between probability measures, offering novel perspectives on the evolution of random fields. SPDEs, on the other hand, model dynamics driven by noise and uncertainty, capturing phenomena ranging from fluid dynamics to population models. By bridging these areas, we aim to illuminate how transport-based metrics, gradient flows, and Wasserstein geometry can be employed to analyze well-posedness, stability, and long-time behavior of SPDEs.

Invited plenary speakers

Contributed speakers

Organizers

Registration

Registration is closed, since the maximum number of participants due to room capacity is reached.

Schedule & Book of Abstracts

Monday, March 16

08:30—09:20 Registration
09:20—09:30 Opening
09:30—10:20 Dario Trevisan: Random Euclidean bipartite matching problem, old and new
10:20—11:10 Jiawei Li: Regularization by noise phenomena in stochastic nonlinear PDEs with modulated dispersion
11:10—11:40 Coffee Break
11:40—12:30 Lukas Anzeletti: Stochastic differential equations in Hilbert spaces with irregular drift
12:30—14:00 Lunch Break
14:00—14:50 Marius Lange: Mapping cells through time and space with optimal transport
14:50—15:20 Vitalii Aksenov: Accelerated fixed-point iteration over spaces of probability measures
15:20—15:50 Coffee Break
15:50—16:40 Anastasiia Hraivoronska: Cancelled How does Sinkhorn affect the JKO scheme?
16:40—17:3015:50—16:40 Anna Shalova: Random Quadratic Form on a sphere: Synchronization by common noise

Tuesday, March 17

09:30—10:20 Khoa Lê: Long time behavior of singular fractional SDEs
10:20—11:10 Fabian Germ: New results for stochastic reaction diffusion equations with non-trace class noise
11:10—11:40 Coffee Break
11:40—12:30 Chengcheng Ling: Stroock—Varadhan's martingale problem of rough SDEs
12:30—14:00 Lunch Break
14:00—14:50 Benjamin Robinson: Talagrand-type transport inequalities for path spaces over Carnot groups
14:50—15:20 Ioannis Gasteratos: Transportation-cost inequalities for nonlinear Gaussian functionals
15:20—15:50 Coffee Break
15:50—16:20 Robert Gruhlke: Multiplicative diffusion models: Beyond Gaussian latents
16:20—17:10 Máté Gerencsér: Discretisation of additive functionals
18:30 Workshop Dinner

Wednesday, March 18

09:30—10:20 Mathias Beiglböck: Brenier’s theorem for adapted transport — Part I
10:20—11:10 Beatrice Acciaio: Curves of processes in the adapted Wasserstein space
11:10—11:40 Coffee Break
11:40—12:10 Stefan Schrott: Brenier’s theorem for adapted transport — Part II
12:10—12:40 Pınar Demetçi: Learning the drivers of continuous-time cell state dynamics via multi-marginal flow matching and optimal transport
12:40 Closing

Lunch

The lunch is self-organized. We recommend the following options, which we love very much!

Conference dinner