COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Mordell Lectures > Joinings of higher rank diagonalizable actions

## Joinings of higher rank diagonalizable actionsAdd to your list(s) Download to your calendar using vCal - Elon Lindenstrauss, Einstein Institute, Jerusalem
- Thursday 21 March 2019, 16:00-17:00
- MR2, CMS.
If you have a question about this talk, please contact HoD Secretary, DPMMS. In the 1950’s, Cassels and Swinnerton-Dyer conjectured that the values of products of n linear forms in n variables at integer points behave rather differently in n>=3 variables than in the case of 2 variables. The reason these two questions behave differently is that the symmetry group of such forms is an (n-1)-dimensional diagonal group, and (as conjectured independently from a different point of view by Furstenberg in 1967) higher rank diagonalizable actions, unlike one-parameter diagonalizable actions, have subtle rigidity properties which are still quite mysterious. One aspect of this question where the current state of knowledge is quite satisfactory is the study of joinings of such actions, where Einsiedler and I have a rather general classification of ergodic joinings. This classification has several striking number theoretic applications, and I will describe two. Both relate to work of Linnik from around 70 years ago regarding the distribution of integer points of the sphere. In this direction, Aka, Einsiedler, and Shapira studied joint distribution of integer points on a two dimensional sphere together with the shape of its orthogonal lattice, and work of Khayutin regarding orbits of the class group of a number field on pairs of CM points. This talk is part of the Mordell Lectures series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- Cambridge Forum of Science and Humanities
- Cambridge Language Sciences
- Cambridge talks
- Centre for Health Leadership and Enterprise
- Chris Davis' list
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Faculty of Mathematics Lectures
- Featured lists
- Featured talks
- Guy Emerson's list
- Hanchen DaDaDash
- Interested Talks
- MR2, CMS
- Machine Learning
- Major Public Lectures in Cambridge
- Mordell Lectures
- Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
- School of Physical Sciences
- Statistical Laboratory info aggregator
- Statistics
- Statistics Group
- bld31
- custom
- personal list
- rp587
Note that ex-directory lists are not shown. |
## Other listsCMS Events Public Health Policy Talks Technology Enterprise Group (TEG) Seminar Series## Other talksDisease Migration The potential of the non-state sector:what can be learnt from the PEAS example Group covariance functions for Gaussian process metamodels with categorical inputs Emulators for forecasting and UQ of natural hazards Virtual bargaining as a micro-foundation for communication What is the Market Potential of Multilingualism? |