На 30.07.2024 г. Марта Пиеропан от Университета в Утрехт ще представи нова версия на метода на хиперболата, която е подходяща за броене на рационални точки върху алгебрични многообразия. Всички заинтересовани са добре дошли! Подробностите относно нейния доклад са както следва:

Вторник (30.07), 14:00 – 15:00 ч., зала 403
Заглавие: Rational points and Campana points on toric varieties and their subvarieties

Резюме: In joint work with Damaris Schindler we develop a new version of the hyperbola method for counting rational points of bounded height that generalizes the work of Blomer and Brüdern for products of projective spaces. The hyperbola method transforms a counting problem into an optimization problem on certain polytopes. For rational points on subvarieties of toric varieties, the polytopes have a geometric meaning that reflects Manin’s conjecture, and the same holds for counts of Campana points of bounded height. I will present our results as well as some general heuristics.