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On a conjecture of Ogg--Mihran Papikian (美国Pennsylvania State University)

作者:   来源:  时间:2019-06-19

题目:On a conjecture of Ogg

报告人: Mihran Papikian

(美国Pennsylvania State University)

 

Abstract : Let N=pq be a product of two distinct primes.  
There is an isogeny J_0(N)^/mathrm{new}/to J^N defined over Q between the new quotient of  J_0(N) and the Jacobian of the Shimura curve attached to the indefinite quaternion algebra of discriminant N. 
   In 1983, Andrew Ogg made predictions about the kernels of these isogenies in the case when when p=2,3,5,7,13.   
   We show that Ogg's conjecture is false in general. Afterwards, we propose a strategy for proving results toward Ogg's conjecture in certain situations. Finally,  we discuss this strategy in detail for N=5*13. (This is a joint work with K. Klosin.)  

    

时间:6月19日(周三)下午16:00-17:00

地点:首都师范大学本部教二楼 713 教室

联系人:方江学

 

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