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STNB2025( 38a edició)

Heegner points and integration over Hp×Hq

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Carlos Caralps

Resum

Heegner points on Modular curves can be related to periods defined over some concrete integrals defined over the common complex upper half-plane. Using the theory of p-adic measures. p-adic integration and Drininfled's moduli interpretation of the p-adic upper half-plane Hp, we can get a similar correspondence between Heegner points on Shimura curves and some multiplicative integrals defined over Hp. The main aim of this talk is to present a similar result for integrals defined over the product Hp×Hq.

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