University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Difference fields and descent of difference varieties

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Difference fields and descent of difference varieties

Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani .

Discrete Integrable Systems

In this talk I will state and explain a few results of descent of difference varieties which can be obtained using model theoretic tools. The typical statement is the following: Let K_1 and K_2 be difference fields, and V_i, i=1,2, difference varieties defined over K_i. Assume that there is a dominant rational difference morphism from V_1 onto V_2. Then V_2 in turns dominates some difference variety defined over K=K_1p K_2. This result is of course not true as stated, and we explain which hypotheses make it valid. In particular it gives an alternate proof of a result of M. Baker on algebraic dynamics and generalises it to higher dimensions. This is joint work with Ehud Hrushovski.

Extended abstract, at http://www.logique.jussieu.fr/~zoe/papiers/Leeds09.pdf

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Bus Booking CrisisCamp Cambridge Zoom

Other talks

CUSCRS and Renal Medicine The rise of local cartography in Europe, 12th-14th century The Inaccessible Game The organisational management of traumatic stress Shining a light on the origin of supermassive black holes with cosmological simulations TBC
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity