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What and Who
Title:From Singularities of Algebraic Differential Equations to Real Algebraic Geometric
Speaker:Werner Seiler
coming from:Universität Kassel
Speakers Bio:
Event Type:Talk
Visibility:D1, D2, D3, D4, D5, SWS, RG1, MMCI
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Level:Public Audience
Language:English
Date, Time and Location
Date:Tuesday, 22 May 2018
Time:14:00
Duration:60 Minutes
Location:Saarbrücken
Building:E1 5
Room:630
Abstract
We describe a combined algebraic and geometric framework to study singularities of implicit differential equations, i.e. equations which are not solved for their leading derivatives. At such singularities the traditional theory of differential equations is no longer valid and many new phenomena may appear: solutions may suddenly begin or end without apparent reason, finitely or even infinitely many solutions may exist for given initial data or solutions may be only of finite regularity even for analytic equations. We show how singularities can be algorithmically detected and classified in the complex case using the Thomas decomposition. For real differential equations, as they prevail in applications, this task leads to questions in real algebraic geometry which can be tackled with tools like cylindrical algebraic decompositions.
Contact
Name(s):Jennifer Müller
Phone:2900
EMail:--email address not disclosed on the web
Video Broadcast
Video Broadcast:NoTo Location:
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Created:Jennifer Müller/MPI-INF, 04/24/2018 02:21 PM Last modified:Uwe Brahm/MPII/DE, 05/22/2018 07:01 AM
  • Jennifer Müller, 04/24/2018 02:23 PM -- Created document.