STNB

STNB2025( 38a edició)

Heegner points and integration over $\mathcal{H}_p\times\mathcal{H}_q$

Ponents

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 $\mathcal{H}_p$, we can get a similar correspondence between Heegner points on Shimura curves and some multiplicative integrals defined over $\mathcal{H}_p$. The main aim of this talk is to present a similar result for integrals defined over the product $\mathcal{H}_p\times\mathcal{H}_q$.

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