Ett informationsblad från matematiska institutionen vid Linköpings universitet. Material till Lite Mat lämnas till Bodil Stavklint litemat@mai.liu.se senast torsdagar kl 08.00.

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***LITE MAT***

Ett informationsblad från matematiska institutionen vid Linköpings universitet

v45 2004

Matematiska kollokviet

Onsdagen den 3 november, kl. 13.00-14.00 talar Professor Martina Šimunková, Liberec, Czech Republic angående:

The Poisson Integral and the Kelvin Transform

Sammanfattning: The Poisson integral which gives an explicit solution of the Dirichlet problem of the Laplace equation on a ball plays an important role in classical potential theory. There are several possibilities to derive the Poisson integral - some of them are based on the Kelvin transform. The connection between the Poisson integral and the Kelvin transform will be shown. Also Kelvin type transforms of elliptical operators will be described.

Onsdagen den 10 november, kl. 13.00-14.00 talar Professor Antonio F. Costa, UNED, Madrid,angående:

On the connectedness of the locus of real Riemann surfaces in the moduli space.

Sammanfattning: This talk is dedicated to expose some results on the connectedness of the set of special types of real curves in the moduli space of complex algebraic curves. We review some known results where the above set is connected. We present some cases where the set of real -gonal algebraic curves is not connected. We also show that the set of real elliptic-hyperelliptic curves of even genus is not connected.

Lokal: ISY/MAI:s seminarierum Glashuset, ing 25.

Välkomna!
Anders Björn,
Vladimir Kozlov,
Svante Linusson och
Stefan Rauch-Wojciechowski

Licenciatseminarium

Daniel Ying presenterar sin licentiatavhandling:

Cyclic trigonal Riemann surfaces of genus 4.

den 11 november 2004 kl 10.15.

Lokal: Glashuset.

Abstract: A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus g>=5. This thesis will characterize the Riemann surfaces of genus 4 with non-unique trigonal morphism. We will describe the structure of the space of cyclic trigonal Riemann surfaces of genus 4.

Välkomna!

Seminar in Mathematical Statistics

Onsdag den 3 november 15.15-16.15 (c:a)

Lokal: Glashuset.

Seminar series on stochastic iterations continues.

Theme: Contraction conditions for stochastic iteration systems, and limit theorem for partially observed Markov chain.

Välkomna!
Thomas Kaijser

Doktorandkurs optimeringslära

NONLINEAR OPTIMIZATION, EQUATIONS AND LEAST SQUARES - a course for graduate students.

This course has been approved by LiTH FoFu-nämnden as "Fakultetsgemensamma forskarutbildningskursen". It will start on Wednesday, week 3, and will take about 16-17 weeks (one seminar per week). The course is worth 6 points.

Students will get acquaintance with the most effective numerical methods in nonlinear optimization, equations and least squares, many of which have been developed only in recent years. They will be involved in presenting the material. The basic book:

Jorge Nocedal and Stephen J. Wright "Numerical Optimization", Springer, 1999

For more information about the book see: http://www.ece.nwu.edu/~nocedal/book/num-opt.html

Students background: basic calculus, numerical linear algebra and optimization. Any gap in the background can be closed by students at the beginning of the course by intensive self-study with a help of the lecturer.

Welcome!
Oleg Burdakov

Mer information om MAI finns på MAIs hemsida.
Material till Lite Mat lämnas till Bodil Stavklint senast torsdagar kl 08.00.
Linköpings universitet, 581 83 Linköping
Tel 013-281000, Fax 013-149403
E-mail: litemat@mai.liu.se