Matematiikan ja systeemianalyysin laitos

Ajankohtaista

Esitelmiä, seminaareja ja väitöksiä

* Seuraavan viikon tapahtumat merkitty tähdellä

Juho Saranpää
Techno-Economic Analysis of Compute Express Link in Radio Networks
* Today * Friday 07 March 2025,   14:15,   M3 (M234)
Master's Thesis Presentation / Hakula

Jinwoo Sung (Chicago)
A quasi-invariant group action on SLE loops
* Monday 10 March 2025,   14:15,   Y405
Conformal welding is an operation that encodes Jordan curves on the Riemann sphere in terms of circle homeomorphisms. Thus, composition defines a natural group action of circle homeomorphisms on Jordan curves. In this talk, I will discuss a Cameron-Martin type quasi-invariance result for the SLE loop measure under the right group action by Weil-Petersson homeomorphisms. While this result was hinted by Carfagnini and Wang's identification of Loewner energy as the Onsager-Machlup action functional of the SLE loop measure, the group structure of SLE welding has been little understood previously. Our proof is based on the characterization of the composition operator associated with Weil-Petersson circle homeomorphisms using Hilbert-Schmidt operators and the description of the SLE loop measure in terms of the welding of two independent quantum disks by Ang, Holden, and Sun. This is joint work with Shuo Fan (Tsinghua University and IHES).

Dr. Ozgur Ceyhan (University of Luxembourg)
Byzantine Fault Tolerance and Mean Field Theory
* Tuesday 11 March 2025,   15:15,   A1 (A123)
The "Byzantine generals problem" is an allegory describing a distributed system aiming for consensus in the presence of unreliable/malicious elements. A widely known classical approach to Byzantine fault tolerance shows the impossibility of dealing with one-third or more faulty elements, i.e., only f-faulty elements are enough to corrupt a system with 3f or fewer components. In this talk, I will overview fault tolerance in a toy model and examine it as a spin glass model, a magnetic state characterized by randomness in interactions in spin systems. Finally, I will discuss the threshold for faulty elements through a mean-field solution.

Jere Karttunen
Weak Reverse Hölder Inequalities and Muckenhoupt Weights: Interplay and Implications (Diploma thesis talk)
* Wednesday 12 March 2025,   15:15,   M2 (M233)
Note that the seminar is in M2 in this period!
Seminar on analysis and geometry

Giacomo Maletto (KTH)
Arrangements of Three Ellipsoids
* Thursday 13 March 2025,   14:15,   M2 (M233)
We classify arrangements of three ellipsoids in space up to rigid isotopy classes, focusing on nondegenerate configurations that avoid singular intersections. Our approach begins with a combinatorial description of differentiable closed curves on the projective plane that intersect a given arrangement of lines transversally. This framework allows us to label classes of spectral curves associated with ellipsoid configurations, which are real plane quartic curves. We determine necessary and sufficient conditions for these classes to be inhabited through arguments coming from linear algebra, algebraic geometry, combinatorics, and by computations in Mathematica and Macaulay2.
Algebra & Discrete Mathematics (ADM) Seminar

Prof. Marcus Greferath (University College Dublin/Aalto)
Some old and new ideas on noiseless and noisy group testing
* Thursday 13 March 2025,   16:15,   M3 (M234)
Group Testing is an area in information and communication sciences that is as well-established as Coding Theory and Cryptography. The author of this talk stumbled over this amazingly interesting topic during the recent COVID-19 pandemic and came to the moderately surprising observation that (non-adaptive) group testing in both the noiseless and the noisy (=error-correcting) case, may be considered as coding theory over the Boolean semi-field (1+1=1). Following this path, he discovered new and re-discovered known results of the theory that now allow for a presentation in a new skin. This talk will delve into the topic and show how Noiseless and Noisy Group Testing can be connected to Partially Ordered Sets, Residuation, Partial Linear Spaces, Configurations, Barbilian Spaces, and Block Designs, which gives raise to further applications of Finite Geometry and Order Theory.
ANTA Seminar / Hollanti et al.

Léonie Papon (Durham)
TBA
Tuesday 18 March 2025,   10:15,   M3 (M234)

Tuomas Kelomäki (Aalto)
TBA
Friday 21 March 2025,   10:15,   M3 (M234)

Mikhail Basok (University of Helsinki)
TBA
Tuesday 25 March 2025,   10:15,   M3 (M234)

Nageswari Shanmugalingam (University of Cincinnati)
TBA
Wednesday 26 March 2025,   10:15,   M2 (M233)
Seminar on analysis and geometry

Estibalitz Durand Cartagena (UNED, Madrid)
TBA
Wednesday 02 April 2025,   10:15,   M2 (M233)
Seminar on analysis and geometry

Yoh Tanimoto (University of Rome Tor Vergata)
TBA
Tuesday 08 April 2025,   10:15,   M3 (M234)

Hana Ephremidze (Universität Bonn)
TBA
Thursday 10 April 2025,   14:15,   M2 (M233)
Algebra & Discrete Mathematics (ADM) Seminar

Jiasheng Lin (Institut de Mathématiques de Jussieu-Paris Rive Gauche)
TBA
Tuesday 15 April 2025,   10:15,   M3 (M234)

Aleksis Koski
TBA
Wednesday 16 April 2025,   10:15,   M3 (M234)
Seminar on analysis and geometry

Aapo Pulkkinen
TBA
Wednesday 07 May 2025,   10:15,   M3 (M234)
Seminar on analysis and geometry

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