Indian Institute of Technology Bombay
Mathematics Association of IIT Bombay and Bombay Mathematical Colloquium
|Speaker:||Prof. Dr. M. Brodmann|
|Affiliation:||University of Zuerich, Switzerland|
|Title:||Blowing up surfaces and their visualization|
|Date:||Friday 15 November, 2002|
|Time:||5.05 p.m.- 6.10 p.m.|
Blowing-up is a fundamental process in Algebraic Geometry.
We will throw a first glance at this process by means of examples, which
are accessible to visualization. Namely, we consider the special case of
blowing-up the plane with respect to a curve. We explain
how the resulting blown-ups may be embedded into 3-space and how these
embedded blown-ups can be visualized, by means of a computer for example.
We explain a project to produce a movie obtained by letting vary the coefficients of the defining polynomials of the curve. The work presented is based on junior research peformed in the Diploma Theses of my studends Markus Brandenberg, Nadine Korolnik and Simone Koller.
The lecture will be accessible to students with a modest background in calculus and linear algebra.
|About the speaker|
|Professor Markus Brodmann is an internationally renowned researcher in the fields of algebraic geometry and commutative algebra. He has published over fifty research papers and a book: Local Cohomology: Algebraic and Geometric Aspects published by the Cambridge University Press. After receiving his doctoral degree in 1974, he worked as an assistant to M. Andre' and H. J. Nastold. Currently he is leading the commutative algebra and algebraic geometry group at the University of Zuerich.|
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