Paul D. Nelson: Catalogue data in Spring Semester 2020

Name Dr. Paul D. Nelson
E-mailpaul.nelson@math.ethz.ch
URLhttp://www.math.ethz.ch/~nelsonpa
DepartmentMathematics
RelationshipAssistant Professor

NumberTitleECTSHoursLecturers
401-3201-00LAlgebraic Groups Information 8 credits4GP. D. Nelson
AbstractIntroduction to the theory of linear algebraic groups. Lie algebras, the Jordan Chevalley decomposition, semisimple and reductive groups, root systems, Borel subgroups, classification of reductive groups and their representations.
Objective
LiteratureA. L. Onishchik and E.B. Vinberg, Lie Groups and Algebraic Groups
Prerequisites / NoticeAbstract algebra: groups, rings, fields, tensor product, etc.

Some familiarity with the basics of Lie groups and their Lie algebras would be helpful, but is not absolutely necessary.

We will develop what we need from algebraic geometry, without assuming prior knowledge.
401-5110-00LNumber Theory Seminar Information 0 credits1KÖ. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz
AbstractResearch colloquium
ObjectiveTalks on various topics of current research.
ContentResearch seminar in algebra, number theory and geometry. This seminar is aimed in particular to members of the research groups in these areas and their graduate students.