Periods and Algebraicity

This is the webpage of the research project ‘‘Periods and Algebraicity’’ supported by the São Paulo Research Foundation (FAPESP) Young Investigator Grant #2020/15804-1.

Current team:

• Tiago J. Fonseca (PI) - Unicamp
• Nelson P. P. Serrano (master’s student) - Unicamp

External collaborators:

• Francis Brown - Oxford
• Nils Matthes

Publications:

• T. J. Fonseca, N. Matthes - Elliptic KZB connections via universal vector extensions. Preprint. [arXiv]
• T. J. Fonseca, N. Matthes - A note on the Gauss-Manin connection for abelian schemes. To appear in Rend. Semin. Mat. Univ. Padova. [arXiv]

Talk videos:

• T. J. Fonseca - Elliptic KZB equations via the universal vector extension. Workshop ‘‘Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights’’, INI Cambridge, 23/06/2022.
• T. J. Fonseca - From multiple polylogarithms to the universal vector extension of an elliptic curve. Fields Number Theory Seminar, 07/02/2022.