Özlem Imamoglu: Catalogue data in Spring Semester 2019
|Name||Prof. Dr. Özlem Imamoglu|
ETH Zürich, HG G 37.3
|Telephone||+41 44 632 79 24|
|401-0164-00L||Multilinear Algebra and Its Applications||3 credits||2V + 1U||Ö. Imamoglu|
|Abstract||Review of the basic concepts of linear algebra, including vector spaces, linear and multilinear maps. Introduction to tensors and multilinear algebra.|
|Objective||The goal of this course is to introduce the student to tensors, multilinear algebra and its applications.|
|Content||Review of linear algebra with emphasis on vector spaces|
and linear and multilinear transformations.
Tensors of first and second order
Higher order tensors.
Multilinear maps and tensor products of vector spaces
Applications of tensors.
|401-4110-19L||Modular Forms |
Number of participants limited to 20.
|4 credits||2S||Ö. Imamoglu|
|Abstract||The course will cover the basic properties of the classical modular forms|
|Objective||The aim is cover the classical theory of modular forms.|
|Content||Basic definitions and properties of SL(2,Z), its subgroups and modular forms for SL(2,Z). Eisenstein and Poincare series. L-functions of modular forms. Hecke operators. Theta functions. Maass forms.|
|Literature||A course in Arithmetic, by J.P. Serre|
Modular Forms, by T. Miyake
Introduction to elliptic curves and modular forms, by N. Koblitz
A first course in modular forms by F.Diamond and, J. Shurman
|Prerequisites / Notice||Funktion theory and Algebra I & II are prerequisites.|
|401-5110-00L||Number Theory Seminar||0 credits||1K||Ö. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz|
|Objective||Talks on various topics of current research.|
|Content||Research 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.|