* Dates within the next 7 days are marked by a star.
Linnea Eklund
Surrogate-Based Parameter Estimation for the Complete Electrode Model (Master thesis presentation)
* Today * Tuesday 25 August 2026, 11:15, M2 (M233)
Master thesis presentation
Prof. Guillermo Mantilla-Soler (U. Nacional de Colombia)
Zeta functions of number fields and the classification of integral quadratic forms
* Thursday 27 August 2026, 14:15, M3 (M234)
The Dedekind zeta function encodes profound arithmetic information about a number field, yet non-isomorphic fields can be arithmetically equivalent. A natural question is how this shared analytic data governs underlying geometric structures, such as the integral trace form. In this talk, we investigate the relation between the zeta functions of number fields and the classification of their associated integral quadratic forms. While arithmetic equivalence does not force these forms to be isometric in full generality, we will establish that for tamely ramified, non-totally real number fields, arithmetic equivalence does indeed guarantee isometric integral trace forms.
ANTA Seminar / Hollanti et al.
Joel Hakavuori (Sorbonne University, IMJ-PRG)
Unimodality, Lefschetz theory, and F-purity
* Monday 31 August 2026, 14:15, M3 (M234)
The g-conjecture for simplicial spheres and the Hibi-Ohsugi conjecture for IDP reflexive lattice polytopes are unimodality conjectures for face-number data and lattice-point enumerators, respectively. In both cases, these sequences occur as the Hilbert function of an associated Artinian Gorenstein algebra, and the desired unimodality follows from a Lefschetz property for that algebra. Recent proofs in characteristic 2 replace the positivity arguments familiar from the classical theory of simplicial polytopes by an anisotropy argument: using a generic Artinian reduction, identities for the volume map, and differentiation identities, one proves that nonzero elements up to the middle degree have nonzero squares, which is eventually used to prove that a generic linear form is a Lefschetz element.
I will explain how these ideas are abstracted and generalized in recent work of Adiprasito, Katz, Oba, Papadakis, and Petrotou (2605.02479). They study how the volume and Frobenius maps interact for generic Artinian reductions of CohenMacaulay rings, and in the Gorenstein case produce a polynomial called the Parseval core. A combinatorial condition on its monomial support, called p-conducting, guarantees a nonvanishing result that implies anisotropy and Lefschetz in characteristic 2. I will then explain how Fedders criterion shows that the Parseval core of an F-pure Gorenstein ring is 2-conducting. This unifies the characteristic 2 proofs of the g- and Hibi-Ohsugi conjectures, while also yielding Lefschetz properties for many other classes of interesting Gorenstein rings in positive characteristic.
AGC Seminar
BSc Julia Virtanen (Aalto University)
TBA
Thursday 03 September 2026, 15:15, M3 (M234)
Aalto Stochastics Seminar / Lasse Leskelä
Jesse Piispanen
On well-rounded lattices and theta function minimization (MSc thesis presentation)
Thursday 10 September 2026, 14:15, M3 (M234)
Advisor: Max Forst, Supervisor: Camilla Hollanti
ANTA Seminar / Hollanti et al.
Lorenzo Zacchini (Aalto University)
TBA (midterm review)
Wednesday 23 September 2026, 10:15, M3 (M234)
Analysis seminar / Hytönen
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