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 > Discrete Analysis Seminar > On the dynamical Mordell-Lang conjecture

## On the dynamical Mordell-Lang conjectureAdd to your list(s) Download to your calendar using vCal - Par Kurlberg
- Wednesday 14 November 2012, 16:00-17:00
- MR11, CMS.
If you have a question about this talk, please contact Bob Hough. Let $V$ be a variety, and let $\phi : V \to V$ be a morphism. If an (infinite) forward orbit of a point intersects a subvariaty $W$ infinitely many times, what can be said about $W$? The dynamical Mordell-Lang conjecture asserts that this can only happen for “the obvious reason”, namely that $W$ is $\phi$-preperiodic. We will give a brief background on the conjecture, and using a $p$-adic analytic approach, prove it for certain coordinatewise actions. Assuming certain “random map assumptions”, the approach should work for more general maps if the mod $p$ periodic part of orbit avoids the ramification locus of $\phi$. However, in sufficiently high dimensions the approach breaks down due to the periods being too long. We will discuss this in more detail, and present numerical evidence for the validity of the random map assumption in various dimensions. This talk is part of the Discrete Analysis Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- Discrete Analysis Seminar
- MR11, CMS
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsUniversity of Cambridge Kendo Society Experimental Psychology Junior Category Theory Seminar## Other talksFire-Sale Spillovers and Systemic Risk Computational Neuroscience for Technology: Event-based Vision Sensors and Information Processing Fantastical pottery creatures by Andrew Hull CGHR Research Group Tbc On reading Bernoulli’s Ars conjectandi 1713 |