***LITE MAT***

Ett informationsblad från matematiska institutionen vid Linköpings universitet

v5 1998

Föreläsningar

Matematiska kollokviet

Fredagen den 30 januari kl. 13.15-14.15 talar Bengt Josefson om

Projektioner och limiterade mängder i banachrum.

Lokal: MAI:s seminarierum Beurling.

Lars Inge Hedberg

Docentföreläsning

Onsdagen den 4 februari kl. 13.15-14.00 håller Vladimir Kozlov sin docentföreläsning (lärarprov för oavlönad docentur i tillämpad matematik) med titeln:

Globala egenskaper hos en klass av icke-linjära ordinära differentialekvationer.

Lokal: Sal E 330 (Kepler), Fysikhuset 1 tr.

Alla är välkomna. Efter föreläsningen bjuds på tårta i MAI:s lunchrum, ingång 25, 1 tr.

Enligt docenturnämndens uppdrag,

Lars Inge Hedberg

Seminarium i tillämpad matematik

Prof. Malcolm MacCallum, Maths. Dept., University of London, and Secretary of the International Society on General Relativity and Gravitation, is a well-known researcher, author and speaker over a wide range of fields: algebraic computing, mathematical cosmology, mathematical structure of Einstein's equations. On Wednesday 28 January at 11.15 he will speak on:

An Introduction to twistors.

Abstract.
Initally twistors were defined in (complexified) flat space; mathematically, they are the fundamental representation of the conformal symmetry group. Free massless fields turn out to correspond to arbitrary holomorphic functions in twistor space, via an integral representation, and the generalization of this has given new results in representation theory. Several generalizations of twistors to curved space were developed. The cohomological nature of these results has provided an avenue of development, and so have the natural fibre bundle structures introduced which have been linked to properties of integrable systems in dynamics, an outcome which one could argue was influential in pure mathematicians' focus on moduli spaces and related concepts, including remarkable theorems by Donaldson. There would not be time in one talk to describe all these lines of development: the aim is the more modest one of providing a starting point for further study.

Lokal: MAI: seminarierum (Beurling).

Populär vetenskapligt

Onsdagen den 28 januari kl 15.15 talar Malcolm MacCallum om Black holes and Galactic power.

Lokal: C1

Brian Edgar

Partial Differential Equations

Starting from Monday, the 26th of January I continue my course with the above title intended for postgraduate students. It is devoted to a systematic exposition of the theory of linear elliptic, parabolic, and hyperbolic partial differential equations, mostly of the second order. Both classical and functional analytic methods are used. No previous knowledge of the subject except for the undergraduate course in PDE and elements of functional analysis is assumed.

I shall not follow any particular book, but for some parts of the course one can consult the following monographs:

1. D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983.

2. O.A. Ladyzhenskaya, Boundary Value Problems of Mathematical Physics, Springer-Verlag, 1985.

3. E. De Benedetto, Partial Differential Equations, Birkhäuser, 1995.

Tid: Måndagar kl 15.15-17

Lokal: MAI:s seminarierum (Beurling)

Vladimir Maz'ya

Operatorteori

Kursen i operatorteori (5p) börjar tisdagen den 27 januari.

Kurslitteratur: Walter Rudin, Functional Analysis, 1991.

Tid och lokal: Tisdagar kl.13.15 i MAI:s seminarium Beurling, hus B, ingång 23-25, 1 tr.

Vladimir Kozlov

Presentation av examensarbete

Fredagen den 23 januari kl 15.15 presenterar Andreas Axelsson sitt examensarbete med titeln Size and structure properties for Banach spaces and some tree-like spaces.

Lokal: ISY:s seminarierum

Välkomna!

Fredagen den 30 januari kl 15.15 presenterar Pekka Karttunen, (Y-tm), sitt examensarbete i tillämpad matematik

Absorbing boundary conditions for an FDTD algorithm

Lokal: MAI:s seminarierum

Välkomna!
Per Weinerfelt

Institutionsstyrelsens sammanträde 98-01-28

Följande ärenden kommer att behandlas:

- Bokslut/Budget

- Utseende av arbetsgrupp för institu-
tionens kvalitetsarbete.

- MAI:s handlingsprogram.

Mer information om MAI finns på under MAIs hemsida
Material till Lite Mat lämnas till Maud Lindström senast torsdagar kl 12.00.
Tel 013-281405, Fax 013-100746, Email: litemat@mai.liu.se
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