Manfred Einsiedler: Catalogue data in Autumn Semester 2017

Award: The Golden Owl
Name Prof. Dr. Manfred Einsiedler
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 64.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 31 84
E-mailmanfred.einsiedler@math.ethz.ch
URLhttp://www.math.ethz.ch/~einsiedl
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-1261-07LAnalysis I Information 10 credits6V + 3UM. Einsiedler
AbstractIntroduction to the differential and integral calculus in one real variable: fundaments of mathematical thinking, numbers, sequences, basic point set topology, continuity, differentiable functions, ordinary differential equations, Riemann integration.
ObjectiveThe ability to work with the basics of calculus in a mathematically rigorous way.
LiteratureH. Amann, J. Escher: Analysis I
https://link.springer.com/book/10.1007/978-3-7643-7756-4

J. Appell: Analysis in Beispielen und Gegenbeispielen
https://link.springer.com/book/10.1007/978-3-540-88903-8

R. Courant: Vorlesungen über Differential- und Integralrechnung
https://link.springer.com/book/10.1007/978-3-642-61988-5

O. Forster: Analysis 1
https://link.springer.com/book/10.1007/978-3-658-00317-3

H. Heuser: Lehrbuch der Analysis
https://link.springer.com/book/10.1007/978-3-322-96828-9

K. Königsberger: Analysis 1
https://link.springer.com/book/10.1007/978-3-642-18490-1

W. Walter: Analysis 1
https://link.springer.com/book/10.1007/3-540-35078-0

V. Zorich: Mathematical Analysis I (englisch)
https://link.springer.com/book/10.1007/978-3-662-48792-1

A. Beutelspacher: "Das ist o.B.d.A. trivial"
https://link.springer.com/book/10.1007/978-3-8348-9599-8

H. Schichl, R. Steinbauer: Einführung in das mathematische Arbeiten
https://link.springer.com/book/10.1007/978-3-642-28646-9
401-3370-67LSeminar on Homogeneous Dynamics and Applications Restricted registration - show details
Number of participants limited to 12.
4 credits2SM. Einsiedler, M. Akka Ginosar, Ç. Sert
AbstractThis seminar is offered to students taking the course Homogeneous Dynamics and Applications. It will give some more details and fill in some of the background of the material in the course. Exercises will also be an integral part of the seminar.
Objective
ContentSeminar website: https://metaphor.ethz.ch/x/2017/hs/401-3370-67L/
Prerequisites / NoticeThe seminar is restricted to 12 students, registration will be finalised in the first week of the semester.
401-3375-67LHomogeneous Dynamics and Applications8 credits4GM. Einsiedler, M. Akka Ginosar, Ç. Sert
AbstractThe aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume.
ObjectiveThe aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume.
ContentThe first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume. Some of the aims of the course are:
-) Pointwise ergodic theorem for a certain class of amenable groups
-) Dynamics on hyperbolic surfaces, equidistribution of periodic horocycle orbits
-) Applications to counting
-) Some cases of Ratner theorems in Unipotent dynamics


Course website: https://metaphor.ethz.ch/x/2017/hs/401-3375-67L/
Prerequisites / NoticeThe course will use functional analysis quite heavily.
401-5530-00LGeometry Seminar Information 0 credits1KM. Burger, M. Einsiedler, A. Iozzi, A. Sisto, University lecturers
AbstractResearch colloquium
Objective