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 > Number Theory Seminar > Regularized theta lifts and currents on products of Shimura curves

## Regularized theta lifts and currents on products of Shimura curvesAdd to your list(s) Download to your calendar using vCal - Luis Garcia (Imperial)
- Tuesday 27 May 2014, 16:15-17:15
- MR13.
If you have a question about this talk, please contact James Newton. Consider two different holomorphic Hecke eigenforms $f_i \in \pi_i$, $i=1,2$ of weight $2$ on a Shimura curve $X$ over a totally real field $F$. We will first discuss Beilinson’s conjecture relating the image of the complex regulator map from a higher Chow group with the special value of $L(\pi_1 \times \pi_2,s)$ at $s=0$. Then we will review BruinierĀ“s construction of meromorphic functions on $X$ with divisors supported on CM points. Finally we will show how to use theta lifts of cusp forms on $Sp_4(\mathbb{A}_F)$ to compute, assuming that the $f_i$ have full level and up to an archimedean zeta integral, the period integrals arising as regulators of higher Chow cycles constructed using Bruinier’s functions. This talk is part of the Number Theory 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
- DPMMS lists
- MR13
- Number Theory Seminar
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsMathematics at Work Sustainable Energy - One-day Meeting of the Cambridge Philosophical Society Construction Engineering Seminars## Other talksGenetic and Epigenetic Control of Parental Care What do we know about ordinary lives in North Korea? An illustrated lecture. River Ice – Process, Theory, and Mathematical Modeling Inferring the Evolutionary History of Cancers: Statistical Methods and Applications Genetic Investigations into Progressive Retinal Atrophy in the Lhasa Apso dog The General Linear Model and complex designs including Analysis of Covariance |