# Models of elliptic curves, using model theory

Speaker
Yatir Halevi (Haifa University)
Date
17/12/2023 - 13:00 - 12:00Add to Calendar 2023-12-17 12:00:00 2023-12-17 13:00:00 Models of elliptic curves, using model theory Given a valued field (K,v) with valuation ring O and an algebraic group G over K, a model of G is a group scheme \mathcal{G} over O for which \mathcal{G}\times_O K=G. We exhibit the existence of such models for G an elliptic curve and K an algebraically closed field and on the way we classify the different group schemes one can get. The proof uses a combination of tools from model theory and algebraic geometry. The aim of this talk is to state the theorem and to introduce some of the model theoretic notions required for the proof. No prior knowledge in model theory is required, though a basic course in logic will help. hybrid mode: math building (216), room 201, and zoom: https://biu-ac-il.zoom.us/j/751076379 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
hybrid mode: math building (216), room 201, and zoom: https://biu-ac-il.zoom.us/j/751076379
Abstract

Given a valued field (K,v) with valuation ring O and an algebraic group G over K, a model of G is a group scheme \mathcal{G} over O for which \mathcal{G}\times_O K=G. We exhibit the existence of such models for G an elliptic curve and K an algebraically closed field and on the way we classify the different group schemes one can get. The proof uses a combination of tools from model theory and algebraic geometry.

The aim of this talk is to state the theorem and to introduce some of the model theoretic notions required for the proof.

No prior knowledge in model theory is required, though a basic course in logic will help.

תאריך עדכון אחרון : 15/12/2023