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Past events
Find information about past ANU MSI events.
Generalized Koszul duality, or the yoga of (co)bar constructions »
Koszul duality may be viewed as machinery to find smaller replacements for the (co)bar construction of a dg (co)algebra
Transfer Operators and Iterated Function Systems »
In this talk, I will first give a general introduction to transfer operators and then a review of recent work on uniformly contracting and non-uniformly contracting iterated function systems.
A general theory of canonical lifts »
The classical theory of canonical lifts for elliptic curves gives a canonical way of lifting (ordinary) elliptic curves in positive characteristic to characteristic zero.
Stochastic Partial Differential Equations meets functional calculus »
After a short introduction on stochastic integrals and PDEs, I will explain two situations where one can apply functional calculus techniques in the study of the regularity of solutions to SPDEs.
Heat equation and reaction-diffusion equation with boundary noise »
Solvability of the heat equation with the Dirichlet white-noise boundary condition was an open problem for about 30 years.
Liouville theorems involving the fractional Laplacian »
The fractional Laplacian in Euclidean space is a nonlocal operator.
Multicommutators and Multiplier Theorems »
This is a joint work with Loukas Grafakos, Danqing He and Hanh Van Nguyen.
Special cases of the planar least gradient problem »
We study the least gradient problem in two special cases.
Frechet differentiability of the norm of non-commutative Lp spaces »
Let $M$ be a von Neumann algebra and let $(L_p(M), \|.\|_p)$, $1 \leq p < \infty$ be Haagerup’s $L_p$-space on $M$.
A new approach to maximal regularity for parabolic PDEs »
Maximal regularity can often be used to obtain a priori estimates which give global existence results.
