Tin tức nổi bật
Hội thảo sắp diễn ra
Gặp gỡ Toán học 2025 - Hội thảo Khoa học các nhà nghiên cứu trẻ"
Lectures on selected areas in Pure Mathematics
Hội nghị toàn quốc lần thứ VII “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy”
Xuất bản mới
Partition Identities, Presburger Constructibility and Satake inversion
Người báo cáo: Jorge Enrique Cely García
Time: 9:00 - 10:00, 8th June
Venue: Room 507, A6, Institute of Mathematics
Abstract: The Presburger constructible functions are those elements in the ring of constructible motivic functions (in the sense of Cluckers-Loeser) that are built from data given by the Presburger language in Z (the value group sort) and the functions and constants involving the formal symbol L. We show some results around the Presburger constructibility of certain partition functions of positive integers. Using results of Hahn et al. we show that the explicit Satake inversion that they obtain using a combinatorial approach from partition identities, can be also obtained in the ring of constructible motivic functions. We formulate questions about possible generalizations. This is a work in progress