Department of Mathematics and Systems Analysis

Current

Lectures, seminars and dissertations

* Dates within the next 7 days are marked by a star.

Daniel Slivinskiy (U. Helsinki/Aalto)
The Shortest Vector Problem on Cyclotomic Ideal Lattices
* Today * Thursday 07 May 2026,   14:15,   M3 (M234)
Further information
Finding a vector of minimal length in a given Euclidean lattice is a classical computationally hard problem. In this talk, we discuss some recent developments related to the shortest vector problem (SVP) on lattices arising from ideals of cyclotomic fields of prime power conductor. We present an algorithm due to Cramer, Ducas and Wesolowski which provides an approximation to SVP on such lattices with a sub-exponential error factor in quantum polynomial time (conditional on some standard number-theoretic conjectures). We describe the relevance of the ideal class group and the reductions that allow the application of a variation of Stickelberger's theorem.
ANTA Seminar / Hollanti et al.

Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
* Friday 08 May 2026,   09:15,   M3 (M234)
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887

Asadollah Aghajani
Hardy Inequalities and Liouville Theorems for Elliptic PDEs (minicourse)
* Friday 08 May 2026,   14:15,   M3 (M234)
Seminar on analysis and geometry

Asadollah Aghajani
Hardy Inequalities and Liouville Theorems for Elliptic PDEs (minicourse)
* Monday 11 May 2026,   10:15,   M3 (M234)
Seminar on analysis and geometry

Stefano Pagliarani (University of Bologna)
On heat kernel estimates for Brownian SDEs with distributional drift
* Tuesday 12 May 2026,   15:15,   M1 (M232)
Further information
We establish heat kernel bounds and regularity estimates for the transition density of the canonical process associated with the martingale problem corresponding to the generator of a formal multi-dimensional Brownian SDE with distributional drift. We consider both the non degenerate case and the degenerate kinetic case in the so-called Young regime, namely when the drift coefficient is a distribution in a negative Besov space with regularity parameter greater than -1/2. Importantly, the estimates are obtained using as parametrix the transition density of the SDE (with multiplicative noise) without the singular perturbation in place of the usual Gaussian density. This talk is based on a joint work with Stéphane Menozzi (University of Évry Val d'Essonne).

Zofia Grochulska
Interpolating Sobolev spaces on domains: full vs. homogeneous norms
* Wednesday 13 May 2026,   10:15,   M3 (M234)
A normed space A is an interpolation space between X and Y if, roughly, it is contained in between these spaces and a certain additional desirable property holds. I will discuss what is known about interpolating Sobolev spaces on the whole Euclidean space and why it gets more complicated in the case of domains. By means of the real interpolation method (introduced by Peetre), we will see that interpolation is closely related to density. I will also present some new (yet unpublished) results which explain the differences in interpolating Sobolev spaces equipped with the full and homogeneous norms. This is work in progress with Pekka Koskela and Riddhi Mishra (both from University of Jyväskylä).
Seminar on analysis and geometry / Korte

Asadollah Aghajani
Hardy Inequalities and Liouville Theorems for Elliptic PDEs (minicourse)
* Wednesday 13 May 2026,   14:15,   M3 (M234)
Seminar on analysis and geometry

Asadollah Aghajani
Hardy Inequalities and Liouville Theorems for Elliptic PDEs (minicourse)
Monday 18 May 2026,   10:15,   M3 (M234)
Seminar on analysis and geometry

Michael Yang
TBA (master's thesis presentation)
Monday 18 May 2026,   14:15,   M3 (M234)
TBA
AGC seminar

Tuomas Kelomäki
TBA
Monday 25 May 2026,   14:15,   M3 (M234)
TBA
AGC seminar

Prof. Iván Blanco Chacón (U. Alcalá)
Summer School on Heegner Points and the Gross-Zagier Formula
Monday 01 June 2026,   10:00,   U5 (U147)
Further information
The summer school will take place June 1-5, click 'further info' above for more information and schedule. Registration is mandatory but free of charge. Please register as soon as possible. Pre-requisites: a course on algebraic number theory and some basics on elliptic curves. Organizers: Iván Blanco, Matilde Costa, Antti Haavikko, and the ANTA group.
ANTA Group & U. Alcála

Rongvoram Nivesvivat (New York University Abu Dhabi)
Bulk two-point functions in loop models
Tuesday 09 June 2026,   10:15,   M3 (M234)
Using techniques in conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half plane. Our results include the two-point connectivities in the Fortuin--Kasteleyn random cluster model with both free and wired boundary conditions (BC). To establish the link between the lattice and continuum versions of these models, we compute universal ratios of amplitudes for the two-point connectivities and find excellent agreement with transfer-matrix computations in the lattice model.

Matematiikan kandiseminaari (Bachelor thesis seminar in Math.)
Monday 15 June 2026,   09:00,   TBA
Further information
Ohjelma: https://mycourses.aalto.fi/course/view.php?id=34597#module-908887

Prof. Timothy Trudgian (UNSW Canberra)
TBA
Thursday 09 July 2026,   15:15,   M3 (M234)
ANTA Seminar / Hollanti et al.

Prof. Guillermo Mantilla-Soler (U. Nacional de Colombia)
TBA
Tuesday 25 August 2026,   15:15,   M3 (M234)
ANTA Seminar / Hollanti et al.

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