[Turkmath:6175] TMD Seçkin Seminerler: 13 Eylül 2023

[Türk Matematik Derneği]

Sayın Liste Üyeleri,

2023-24 akademik yılı TMD Seçkin Seminerler dizisinin birinci konuşması 
Yiannis Sakellaridis tarafından 13 Eylül 2023 Çarşamba günü saat 
16.00'da verilecektir. Konuşmanın ayrıntıları aşağıdadır. İlgilenen 
herkesi bekleriz.
(Zoom linki seminerden bir gün önce gönderilecektir.)

Önceki konuşmaların youtube linklerine
https://tmd.org.tr/tmd-seckin-seminerleri/ sayfasından ulaşabilirsiniz.

SEMİNER DUYURUSU

13 Eylül 2023 Çarşamba 16:00 (İstanbul), 9:00 (New York), 14:00 (Londra)

Yiannis Sakellaridis (Johns Hopkins University)
https://math.jhu.edu/~sakellar

Perspectives on automorphic L-functions

Abstract: L-functions, which are generalizations of the Riemann zeta
function, play a role in some of the deepest conjectures in mathematics.
A huge step in their understanding was undertaken in the late '60s and
'70s by Robert Langlands, who gave a general definition of automorphic
L-functions, and conjectured that they contain all the L-functions
arising from Galois theory and arithmetic geometry. Still, the true
nature of these complex-analytic functions which contain crucial
arithmetic information remained a mystery.

In this talk, I will review various incarnations of L-functions
associated to number fields or function fields, premised on 2 paradigms:
On one hand, the cohomological interpretation of the zeta functions of
varieties over finite fields ("the Galois side"), and, on the other,
Riemann's interpretation of the zeta function as a Mellin transform of a
theta series ("the automorphic side"). I will then sketch a
correspondence between the two paradigms, based on joint work with David
Ben-Zvi and Akshay Venkatesh, based on a conjectural duality between
Hamiltonian spaces, with ramifications that extend into mathematical
physics.