13/05/2026
COLÓQUIO de MATEMÁTICA
𝗔𝗻𝘁𝗼𝗻𝗶𝗼 𝗟𝗲𝗶 (𝗨𝗻𝗶𝘃. 𝗢𝘁𝘁𝗮𝘄𝗮, 𝗖𝗮𝗻𝗮𝗱𝗮)
𝗜𝘄𝗮𝘀𝗮𝘄𝗮 𝘁𝗵𝗲𝗼𝗿𝘆 𝗼𝗳 𝗴𝗿𝗮𝗽𝗵 𝗰𝗼𝘃𝗲𝗿𝗶𝗻𝗴𝘀
𝗧𝗲𝗿ç𝗮-𝗳𝗲𝗶𝗿𝗮 | 𝟮𝟲 𝗺𝗮𝗶𝗼 | 𝟭𝟲:𝟬𝟬 | 𝟲.𝟮.𝟯𝟯
Classical Iwasawa theory investigates how arithmetic invariants from number theory and arithmetic geometry, including ideal class groups, elliptic curves, modular forms, and abelian varieties, behave along infinite towers of number field extensions. More recently, an analogue of Iwasawa theory has been developed in a combinatorial context, where one studies invariants associated with infinite towers of graph coverings.
In this talk, I will survey some recent progress in this area and illustrate how these ideas can be used to establish connections between isogeny graphs and modular curves over finite fields.
𝗖𝗢𝗟Ó𝗤𝗨𝗜𝗢 𝗗𝗘 𝗠𝗔𝗧𝗘𝗠Á𝗧𝗜𝗖𝗔
𝗔𝗻𝘁𝗼𝗻𝗶𝗼 𝗟𝗲𝗶 (𝗨𝗻𝗶𝘃 𝗢𝘁𝘁𝗮𝘄𝗮, 𝗖𝗮𝗻𝗮𝗱𝗮)
𝗜𝘄𝗮𝘀𝗮𝘄𝗮 𝘁𝗵𝗲𝗼𝗿𝘆 𝗼𝗳 𝗴𝗿𝗮𝗽𝗵 𝗰𝗼𝘃𝗲𝗿𝗶𝗻𝗴𝘀
𝗧𝗲𝗿ç𝗮-𝗳𝗲𝗶𝗿𝗮 | 𝟮𝟲 𝗺𝗮𝗶𝗼 | 𝟭𝟲:𝟬𝟬 | 𝟲.𝟮.𝟯𝟯
Classical Iwasawa theory investigates how arithmetic invariants from
number theory and arithmetic geometry, including ideal class groups,
elliptic curves, modular forms, and abelian varieties, behave along
infinite towers of number field extensions. More recently, an analogue of
Iwasawa theory has been developed in a combinatorial context, where
one studies invariants associated with infinite towers of graph coverings.
In this talk, I will survey some recent progress in this area and illustrate
how these ideas can be used to establish connections between isogeny
graphs and modular curves over finite fields.