Lucas Villagra Torcomian from Simon Fraser University
Date: Monday, Feb 24
Time: 12:15 - 1:15 p.m.
Room: M1060 (Markin Hall)
TITLE: Perfect powers as sum of consecutive powers
In 1770, Euler observed that 3^3 + 4^3 + 5^3 = 6^3 and asked if there was another perfect power that equals the sum of consecutive cubes. This captivated the attention of many important mathematicians, such as Cunningham, Catalan, Genocchi and Lucas. In the last decade, the more general equation x^k + (x+1)^k + ⋯ + (x+d)^k = y^n began to be studied. In this talk we will focus on this equation. We will see some known results and one of the most used tools to attack this kind of problems. At the end we will show some new results that appear in arXiv:2404.03457.
Speaker's bio: Lucas Villagra Torcomian completed his PhD in mathematics at the Universidad Nacional de Córdoba in 2023, under the supervision of Ariel Pacetti. Currently, he is a PIMS-Simons Postdoctoral fellow at Simon Fraser University, working with Imin Chen. Lucas’ main research area is Number Theory, more specially he is interested in Diophantine equations, abelian varieties, Galois representations and Modular forms.
EVERYONE IS WELCOME
Contact:
Cherie Secrist | cherie.secrist@uleth.ca | (403) 329-2470