* Dates within the next 7 days are marked by a star.
David Adame-Carrillo (Aalto University)
A logCFT on the lattice: Discrete symplectic fermions on double dimers
* Tuesday 26 September 2023, 10:15, M3 (M234)
Recently (past 25 years), there has been interest in the (double-)dimer model because of the conformally invariant properties of its scaling limit. Physicists, on the other hand, have proposed this model to be described by a logarithmic Conformal Field Theory (logCFT) of central charge c=−2. In the first half of this talk, I will introduce a discretization of the symplectic fermions a logCFT at c=−2 as observables on the double dimer model. From these observables, I will explain how to build a space of local fields which carries a Virasoro representation of central charge
−2. On the second half, I will dive into the logarithmic structure of the representation. In particular, I will show that it contains an L_0 Jordan block of primary fields with conformal weight 0.
Aalto mathematical physics seminar (Kytölä, Peltola, Sahlsten)
Theo Elenius
Regularity for nonhomogeneous variational problems on metric measure spaces
* Wednesday 27 September 2023, 10:15, M3 (M234)
Seminar on analysis and geometry
Kalle Alaluusua (Aalto University)
Community recovery in sparse random graphs
* Wednesday 27 September 2023, 13:00, M240
Midterm review talks
Aleksi Avela (Aalto University)
On Imbalanced Data and Text Classification
* Wednesday 27 September 2023, 13:30, M240
Midterm review talks
Prof. Vitezslav Kala (Charles University)
Universal quadratic forms and Northcott property of infinite number fields
* Thursday 28 September 2023, 14:15, M3 (M234)
Universal quadratic forms generalize the sum of four squares about which it is well known that it represents all positive rational integers. In the talk, I'll start by discussing some results on universal quadratic forms over totally real number fields. Then I'll move on to the - markedly different! - situation over infinite degree extensions K of Q. In particular, I'll show that if K doesn't have many small elements (i.e., "K has the Northcott property"), then it admits no universal form. The talk should be broadly accessible, and is based on a very recent joint work with Nicolas Daans and Siu Hang Man.
ANTA Seminar / Hollanti et al.
Shinji Koshida (Aalto University)
TBA
Tuesday 03 October 2023, 10:15, M3 (M234)
TBA
Aalto mathematical physics seminar (Kytölä, Peltola, Sahlsten)
Gaétan Leclerc (Sorbonne Universite)
Tuesday 03 October 2023, 10:15, M3 (M234)
Aalto mathematical physics seminar (Kytölä, Peltola, Sahlsten)
Nenad Teofanov (University of Novi Sad, Serbia)
An introduction to localization operators
Wednesday 04 October 2023, 10:15, M3 (M234)
The aim of the lecture is to offer a brief introduction to time-frequency localization operators.
To motivate the talk we first discuss Fourier multiplier operators. Such operators are used for example in the design of frequency filters in signal analysis. However, in some situations it is of interest to treat time-frequency plane as one geometric whole rather than as two separate spaces.
Operators which perform simultaneous localization in time and in frequency arise as a natural extension of Fourier multipliers. Historically, such operators were first observed by Felix Berezin in the context of quantization problem in quantum mechanics in early 1970s. 35 years ago Ingrid Daubechies published an influential paper on localization operators and their applications in optics and signal analysis. A convenient framework for the study of localization operators as short-time Fourier transform multipliers is given by Elena Cordero and Karlheinz Gröchenig in 2003. Feichtingers modulation spaces are used when considering continuity properties of such operators.
The central part of the talk is devoted to some basic properties of localization operators and their connection to pseudodifferential operators. We will also briefly discuss bilinear localization operators.
In the last part of the talk we will reconsider localization operators as continuous frame multipliers defined by a fixed multiplication pattern (the symbol) which is inserted between the analysis and synthesis operators. Finally, we consider the tensor product setting for continuous frame multipliers. A specific feature in such context is the notion of partial trace. By using the partial trace theorem we will offer an interpretation of tensor product continuous frame multipliers as density operators for bipartite quantum systems in quantum mechanics.
Seminar on analysis and geometry
Seyma Bodur (U. Valladolid)
Single-server private information retrieval with codes over rings
Thursday 05 October 2023, 14:15, M3 (M234)
ANTA Seminar / Hollanti et al.
Mikhail Basok (University of Helsinki)
TBA
Tuesday 10 October 2023, 10:15, M3 (M234)
TBA
Aalto mathematical physics seminar (Kytölä, Peltola, Sahlsten)
Matilde Costa
BV capacity and Hausdorff content
Wednesday 11 October 2023, 10:15, M3 (M234)
Seminar on analysis and geometry
Heather Macbeth (Fordham University)
TBA (Finnish Mathematical Society online colloquium)
Wednesday 18 October 2023, 16:15, TBA
(This is an online colloquium talk. Colloquium watch events are organized at Finnish universities' mathematics departments. The location of the Aalto event will be announced later.)
Finnish Mathematical Society online colloquium
Dr. Jacques Benatar (U. Helsinki)
TBA
Thursday 19 October 2023, 14:15, M3 (M234)
ANTA Seminar / Hollanti et al.
Sakari Niemelä
Higher integrability of metric double phase minimizers
Wednesday 25 October 2023, 10:15, M3 (M234)
Seminar on analysis and geometry
Wontae Kim
TBA
Wednesday 01 November 2023, 10:15, M3 (M234)
Seminar on analysis and geometry
Lauri Särkiö
TBA
Wednesday 08 November 2023, 10:15, M3 (M234)
Seminar on analysis and geometry
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