Matematiikan ja systeemianalyysin laitos
- Tutkimusryhmät
- Opiskelu
- Henkilökunta
- Ajankohtaista
- Yhteystiedot
- Sisäsivut
* Seuraavan viikon tapahtumat merkitty tähdellä
Augustin Lafay (Aalto)
Geometrical lattice models, algebraic spiders and applications to random geometry
* Thursday 13 October 2022, 11:00, Y228b
mathematical physics seminar (Kytölä / Peltola / Sahlsten)
Gregory Arone (Stockholm University)
The S_n-equivariant topology of partition complexes
* Thursday 13 October 2022, 11:15, M2 (M233)
Let n be a positive integer. Consider the poset of partitions of the set {1, ... , n}, ordered by refinement. Its geometric realization is a topological space that encodes information about the combinatorial properties of the partition poset. We obtain a sequence of spaces T_1, T_2, ..., T_n, ...,. In fact it is a symmetric sequence of spaces, by which we mean that the n-th space T_n has a natural action of the symmetric group S_n.
These spaces have many interesting properties, and they arise in a number of places in mathematics, from the study of Lie algebras to algebraic topology to mathematical biology. We will survey some of the properties and applications of the spaces T_1, ..., T_n,..., focusing on the properties of the action of the symmetric groups. In particular, we will give a "branching rule" that describes the restriction of T_n to a Young subgroup of S_n (this is joint work with Lukas Brantner). The proof uses discrete Morse theory, and it generalizes many previous results. I will show some applications and some open questions.
Algebra and Discrete Mathematics Seminar
Emanuel Carneiro (ICTP Trieste)
On sign Fourier uncertainty
Wednesday 19 October 2022, 12:15, M3 (M234)
The quest to find the sharp forms of functional inequalities has always been a beautiful and challenging theme in analysis. In this talk we will discuss a few sharp inequalities related to Fourier uncertainty principles. We address the problem of prescribing the sign of a function and its Fourier transform at infinity, and doing this in an optimal way (in an appropriate sense). This phenomenon was introduced by Bourgain, Kahane and Clozel in 2010 under the name of "sign Fourier uncertainty", and brings interesting connections to the sphere packing problem.
Seminar on analysis and geometry
Tapani Matala-aho
TBA
Wednesday 19 October 2022, 16:15, M3 (M234)
ANTA Seminar
Caroline Wormell (Sorbonne, Paris)
Decay of correlations for conditional measures and some applications
Thursday 20 October 2022, 10:15, Y228b
The forward evolution of chaotic systems notoriously washes out inexact information about their state. When advected by a chaotic system, physically relevant measures therefore often converge to some reference measure, usually the SRB measures. This property implies various important statistical behaviours of chaotic systems.
In this talk we discuss the behaviour of slices of these physical measures along smooth submanifolds that are reasonably generic (e.g. not stable or unstable manifolds). We give evidence that such conditional measures also have exponential convergence back to the full SRB measures, even though they lack the regularity usually required for this to occur (for example, they may be Cantor measures). Using Fourier dimension results, we will prove that CDoC holds in a class of generalised baker's maps, and we will give rigorous numerical evidence in its favour for some non-Markovian piecewise hyperbolic maps. CDoC naturally encodes the idea of long-term forecasting of systems using perfect partial observations, and appears key to a rigorous understanding of the emergence of linear response in high-dimensional systems.
Mathematical physics seminar
Asadollah Aghajani
Liouville type results for quasilininear elliptic equations with gradient dependence
Wednesday 26 October 2022, 12:15, M3 (M234)
Seminar on analysis and geometry
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Thursday 27 October 2022, 09:30, Riihi (Y225a)
Further information
Wontae Kim
TBA
Wednesday 02 November 2022, 12:15, M3 (M234)
Seminar on analysis and geometry
Sheldy Ombrosi
TBA
Wednesday 23 November 2022, 12:15, M3 (M234)
Seminar on analysis and geometry
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Wednesday 30 November 2022, 09:30, Riihi (Y225a)
Further information
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Friday 20 January 2023, 09:30, Riihi (Y225a)
Further information
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Monday 06 March 2023, 09:30, Riihi (Y225a)
Further information
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Monday 17 April 2023, 09:30, Riihi (Y225a)
Further information
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Tuesday 16 May 2023, 09:30, Riihi (Y225a)
Further information
Systeemitieteiden kandidaattiseminaari / Bachelor seminar in systems analysis
Friday 16 June 2023, 09:30, Riihi (Y225a)
Further information
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