Name | Prof. Dr. Manfred Einsiedler |
Field | Mathematics |
Address | Professur für Mathematik ETH Zürich, HG G 64.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 31 84 |
manfred.einsiedler@math.ethz.ch | |
URL | http://www.math.ethz.ch/~einsiedl |
Department | Mathematics |
Relationship | Full Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-1261-07L | Analysis I | 10 credits | 6V + 3U | M. Einsiedler | |
Abstract | Introduction 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. | ||||
Objective | The ability to work with the basics of calculus in a mathematically rigorous way. | ||||
Literature | H. 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 | ||||
401-3370-67L | Seminar on Homogeneous Dynamics and Applications Number of participants limited to 12. | 4 credits | 2S | M. Einsiedler, M. Akka Ginosar, Ç. Sert | |
Abstract | This 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 | |||||
Content | Seminar website: https://metaphor.ethz.ch/x/2017/hs/401-3370-67L/ | ||||
Prerequisites / Notice | The seminar is restricted to 12 students, registration will be finalised in the first week of the semester. | ||||
401-3375-67L | Homogeneous Dynamics and Applications | 8 credits | 4G | M. Einsiedler, M. Akka Ginosar, Ç. Sert | |
Abstract | The 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. | ||||
Objective | The 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. | ||||
Content | 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. 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 / Notice | The course will use functional analysis quite heavily. | ||||
401-5530-00L | Geometry Seminar | 0 credits | 1K | M. Burger, M. Einsiedler, A. Iozzi, A. Sisto, University lecturers | |
Abstract | Research colloquium | ||||
Objective |