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Onsdag 1 mars 2017, Milagros Izquierdo, MAI
Talare: Milagros Izquierdo, MAI
Titel: On the Connectivity of Branch Loci of Spaces of Curves
Tid och plats: Onsdag 1 mars 2017, Hopningspunkten, 13.15–14.15
Sammanfattning: Since the 19th century the theory of Riemann surfaces has a central place in mathematics putting together complex analysis, algebraic and hyperbolic geometry, group theory and combinatorial methods.
Since Riemann, Klein and Poincaré among others, we know that a compact Riemann surface is a complex curve, and also the quotient of the hyperbolic plane by a Fuchsian group. In this talk we study the connectivity of the moduli spaces of Riemann surfaces (i.e in spaces of Fuchsian groups). Spaces of Fuchsian groups are orbifolds where the singular locus is formed by Riemann surfaces with automorphisms: the branch loci: With a few exceptions the branch loci is disconnected and consists of several connected components.
This talk is a survey of the different methods and topics playing together in the theory of Riemann surfaces.
Onsdag 8 mars 2017, Natan Kruglyak, MAI
Talare: Natan Kruglyak, MAI
Titel: Theory of Interpolation (review)
Tid och plats: Onsdag 8 mars 2017, Hopningspunkten, 13.15–14.15
Sammanfattning: A year ago I gave a talk during which I have discussed what was done in interpolation theory before 1980. Now I plan to remind (shortly) what was discussed last year and will focus on some results which were obtained after 1980.
Onsdag 15 mars 2017, Håkan Hedenmalm, KTH
Talare: Håkan Hedenmalm, KTH
Titel: Bloch functions, asymptotic variance, and geometric zero packing
Tid och plats: Onsdag 15 mars 2017, Hopningspunkten, 13.15–14.15
Sammanfattning: In connection with the study of the universal integral means spectrum for quasiconformal mapping, it turns out that the main term for small exponents and small Beltrami coefficients is governed by the asymptotic variance introduced by McMullen for a dynamical situation. This follows from work of Oleg Ivrii. The fact that this universal asymptotic variance is less than 1 is shown here. This then leads to the unexpected result that the quasiconformal universal variance is not of the form assumed so far. To obtain the result, we use duality to turn the problem into a problem of analyzing an improvement in the Cauchy-Schwarz inequality. The resulting dual problem has geometric interpretation in terms of "zero packing". In the planar case this is related with Abrikosov´s analysis of superconductivity for which he obtained the Nobel prize.
Onsdag 22 mars 2017, Thomas Geisser, Rikkyo University, Tokyo, Japan, och Institut Mittag-Leffler
Talare: Thomas Geisser, Rikkyo University, Tokyo, Japan, och Institut Mittag-Leffler
Tid och plats: Onsdag 22 mars 2017, Hopningspunkten, 13.15–14.15
Onsdag 29 mars 2017, Panu Lahti, MAI
Talare: Panu Lahti, MAI
Tid och plats: Onsdag 29 mars 2017, Hopningspunkten, 13.15–14.15
Senast uppdaterad: Tue Feb 14 14:57:23 CET 2017