Math.Kolls am 3.10.07 15:00 u. 16:15/Prof. Orlov u. Prof. Eisenberg

[Institut für Mathematik]

Mathematisches Kolloquium

EINLADUNG zu einem VORTRAG von

Prof. Dmitry Orlov (Steklov Math. Institute RAS, Algebra Section)

mit dem Thema: ''Derived categories of coherent sheaves and triangulated
categories of singularities''

Abstract:
Homological mirror symmetry is a relation between algebraic and symplectic
sides of geometric objects. Originally mirror symmetry came from physics,
but the homological mirror symmetry conjecture, formulated by M. Kontsevich
for Calabi-Yau varieties, is an attempt to give a mathematical explanation
of this phenomenon. We will try to describe the main principles of
homological mirror symmetry and its extention to the non-Calabi-Yau case. We
will explain how Landau-Ginzburg models appear in mirror symmetry, and will
give some examples of mirror symmetry where noncommutative deforamations of
varieties are directly related to variation of the symplectic form in
LG-models.

Zeit: Mittwoch, 3. Oktober 2007, 15.00 Uhr Vortrag, anschlieszend 16.15 Uhr
(Kaffeejause)

Ort: Fakultaet fuer Mathematik der Universitaet Wien, Nordbergstr. 15,
Seminarraum C 2.09

Harald Rindler
Ludmil Katzarkov
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Mathematisches Kolloquium

EINLADUNG zu einem VORTRAG von

Prof. Bob Eisenberg (Rush University, Dept of Molecular Biophysics &
Physiology)

mit dem Thema: ''Ions in Solutions and Channels: Physical and Biological
Plasmas''

Abstract:
Ion channels are proteins with a hole down their middle that conduct ions
(spherical charges like Na + , K+   , Ca 2+ , and Cl -   with diameter ~ 0.2
nm) through a narrow tunnel of fixed charge ('doping') with diameter ~  0.6
nm. Ionic channels control the movement of electric charge and current
across biological membranes and so play a role in biology as significant as
the role of transistors in computers: a substantial fraction of all drugs
used by physicians act on channels.
Channels can be studied in the tradition of physical science. Poisson-Drift
diffusion equations familiar in plasma and semiconductor physics  -  called
Poisson Nernst Planck or PNP in biology -  form an adequate model of current
voltage relations in many types of channels under many conditions if
extended to include correlations, and can be extended to describe 'chemical'
phenomena like selectivity with some success.
Ionic channels are manipulated with the powerful techniques of molecular
biology in hundreds of laboratories. Atoms (and thus charges) can be
substituted a few at a time and the location of every atom can be determined
in favorable cases. Ionic channels are one of the few living systems of
great importance whose natural biological function can be well described by
a tractable set of equations. An opportunity exists to apply the well
established methods of computational physics to a central problem of
computational biology. The plasmas of biology can be analyzed like the
plasmas of physics.

Zeit: Mittwoch, 3. Oktober 2007, 16.15 Uhr Kaffeejause, anschlieszend 16.30
Uhr Vortrag

Ort: Fakultaet fuer Mathematik der Universitaet Wien, Nordbergstr. 15,
Seminarraum C 2.09

Harald Rindler
Clemens Heitzinger