* Seuraavan viikon tapahtumat merkitty tähdellä
Prof. Guillermo Mantilla-Soler (National U. Colombia Medellin/Aalto)
Seminar course (7.-17.1.): An introduction to Dirichlet's L-functions and a proof of Dirichlet's theorem of primes in arithmetic progressions
Tuesday 07 January 2025, 10:15, M3 (M234)
We will begin this course (MS-EV0030) by reviewing Euler's change of paradigm, with respect to Euclid, and his proof on infinitude of primes. Then, we will study the generalization made by Dirichlet, and will prove Dirichlet's theorem on arithmetic progression. Through the course we will learn about the development of L-functions, character theory and the beginning of the relation between Galois representations and certain complex functions.
There will be 5 sessions during 2 weeks. For students interested in credits: attendance gives 2 cr and more can be obtained (upon request) by completing further assignments. Sessions take place on Tue, Thu on the first week and Mon, Wed, Fri the second week, all at 10:15-12.
ANTA Seminar / Hollanti et al.
Prof. Guillermo Mantilla-Soler (National U. Colombia Medellin/Aalto)
Seminar course (7.-17.1.): An introduction to Dirichlet's L-functions and a proof of Dirichlet's theorem of primes in arithmetic progressions
Thursday 09 January 2025, 10:15, M3 (M234)
We will begin this course (MS-EV0030) by reviewing Euler's change of paradigm, with respect to Euclid, and his proof on infinitude of primes. Then, we will study the generalization made by Dirichlet, and will prove Dirichlet's theorem on arithmetic progression. Through the course we will learn about the development of L-functions, character theory and the beginning of the relation between Galois representations and certain complex functions.
There will be 5 sessions during 2 weeks. For students interested in credits: attendance gives 2 cr and more can be obtained (upon request) by completing further assignments. Sessions take place on Tue, Thu on the first week and Mon, Wed, Fri the second week, all at 10:15-12.
ANTA Seminar / Hollanti et al.
Prof. Guillermo Mantilla-Soler (National U. Colombia Medellin/Aalto)
Seminar course (7.-17.1.): An introduction to Dirichlet's L-functions and a proof of Dirichlet's theorem of primes in arithmetic progressions
Monday 13 January 2025, 10:15, M3 (M234)
We will begin this course (MS-EV0030) by reviewing Euler's change of paradigm, with respect to Euclid, and his proof on infinitude of primes. Then, we will study the generalization made by Dirichlet, and will prove Dirichlet's theorem on arithmetic progression. Through the course we will learn about the development of L-functions, character theory and the beginning of the relation between Galois representations and certain complex functions.
There will be 5 sessions during 2 weeks. For students interested in credits: attendance gives 2 cr and more can be obtained (upon request) by completing further assignments. Sessions take place on Tue, Thu on the first week and Mon, Wed, Fri the second week, all at 10:15-12.
ANTA Seminar / Hollanti et al.
Prof. Dr. Andreas Rosén (Chalmers)
Hypercomplex analysis of Maxwell's equations
Tuesday 14 January 2025, 15:15, A1 (A123)
Maxwell's equations describe electromagnetic wave propagation and the most dominant force in our world. These fundamental equations can be handled in a natural way by a hypercomplex algebra due to W. K. Clifford, a contemporary of J. C. Maxwell.
We shall survey this kind of non-commutative complex analysis, that is useful in solving Maxwell's equations. Making use of a Cauchy integral formula for time-harmonic Maxwell's equations advocated by Alan McIntosh, we describe a recent boundary integral equation reformulation for Maxwell scattering. In recent joint work with Johan Helsing and Anders Karlsson, Lund, we have achieved an efficient solver, with almost down to machine precision, for computationally challenging plasmonic and eddy current electromagnetic scattering problems.
Prof. Guillermo Mantilla-Soler (National U. Colombia Medellin/Aalto)
Seminar course (7.-17.1.): An introduction to Dirichlet's L-functions and a proof of Dirichlet's theorem of primes in arithmetic progressions
Wednesday 15 January 2025, 10:15, M134
We will begin this course by reviewing Euler's change of paradigm, with respect to Euclid, and his proof on infinitude of primes. Then, we will study the generalization made by Dirichlet, and will prove Dirichlet's theorem on arithmetic progression. Through the course we will learn about the development of L-functions, character theory and the beginning of the relation between Galois representations and certain complex functions.
There will be 5 sessions during 2 weeks. For students interested in credits: attendance gives 2 cr and more can be obtained (upon request) by completing further assignments. Sessions take place on Tue, Thu on the first week and Mon, Wed, Fri the second week, all at 10:15-12.
ANTA Seminar / Hollanti et al.
Andreas Rosén (Chalmers)
Sharp weighted non-tangential maximal estimates via Carleson-sparse domination
Wednesday 15 January 2025, 10:15, M3 (M234)
We prove sharp weighted estimates for the non-tangential maximal function of singular integrals mapping functions from R^n to the half-space in R^{1+n} above R^n. The proof is based on pointwise sparse domination of the adjoint singular integrals that map functions from the half-space back to the boundary. It is proved that these map L_1 functions in the half-space to weak $L_1$ functions on the boundary. From this a non-standard sparse domination of the singular integrals is established, where averages have been replaced by Carleson averages.
Seminar on analysis and geometry
Prof. Guillermo Mantilla-Soler (National U. Colombia Medellin/Aalto)
Seminar course (7.-17.1.): An introduction to Dirichlet's L-functions and a proof of Dirichlet's theorem of primes in arithmetic progressions
Friday 17 January 2025, 10:15, M3 (M234)
We will begin this course (MS-EV0030) by reviewing Euler's change of paradigm, with respect to Euclid, and his proof on infinitude of primes. Then, we will study the generalization made by Dirichlet, and will prove Dirichlet's theorem on arithmetic progression. Through the course we will learn about the development of L-functions, character theory and the beginning of the relation between Galois representations and certain complex functions.
There will be 5 sessions during 2 weeks. For students interested in credits: attendance gives 2 cr and more can be obtained (upon request) by completing further assignments. Sessions take place on Tue, Thu on the first week and Mon, Wed, Fri the second week, all at 10:15-12.
ANTA Seminar / Hollanti et al.
Professor Klaus Nordhausen (University of Helsinki)
On the usage of joint diagonalization in multivariate statistics
Monday 20 January 2025, 14:15, Y313
Scatter matrices generalize the covariance matrix and are useful in many multivariate data analysis methods, including principal component analysis, which is usually based on the diagonalization of the covariance matrix. The simultaneous diagonalization of two or more scatter matrices goes beyond PCA and is used more and more often. In this talk, we offer an overview of many methods that are based on joint diagonalization. These methods range from the unsupervised context with invariant coordinate selection and blind source separation, which includes independent component analysis, to the supervised context with linear discriminant analysis and sliced inverse regression. They also encompass methods that handle dependent data such as time series or spatial data.
Theo Elenius
TBA
Wednesday 22 January 2025, 10:15, M3 (M234)
Seminar on analysis and geometry
Gerardo Barrera (University of Lisbon)
TBA
Tuesday 28 January 2025, 10:15, M3 (M234)
Michał Borowski (University of Warsaw)
Approximation in variational problems
Wednesday 05 February 2025, 10:15, M3 (M234)
Seminar on analysis and geometry
Ioana Ciotir (INSA Rouen, Normandie Université)
TBA
Wednesday 12 February 2025, 10:15, M3 (M234)
Seminar on analysis and geometry
Prof Joni Virta (University of Turku)
Unsupervised linear discrimination using skewness
Wednesday 12 February 2025, 10:15, M237
It is known that, in Gaussian two-group separation, the optimally discriminating projection direction can be estimated without any knowledge on the group labels. In this presentation, we (a) motivate this estimation problem, and (b) gather several unsupervised estimators based on skewness and derive their limiting distributions. As one of our main results, we show that all affine equivariant estimators of the optimal direction have proportional asymptotic covariance matrices, making their comparison straightforward. We use simulations to verify our results and to inspect the finite-sample behaviors of the estimators.
Aalto Stochastics and Statistics Seminar / Leskelä
Aapo Pulkkinen
TBA
Wednesday 12 March 2025, 10:15, M3 (M234)
Seminar on analysis and geometry
Prof. Marcus Greferath (UCD/Aalto)
TBA
Wednesday 12 March 2025, 16:15, M3 (M234)
ANTA Seminar / Hollanti et al.
Professor Estibalitz Durand Cartagena (UNED, Madrid)
TBA
Wednesday 02 April 2025, 10:15, M3 (M234)
Seminar on analysis and geometry
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