# Examples of o-minimality in algebraic geometry

*Hunter Spink (Stanford)*

**02-Sep-2022, 19:00-20:00 (9 months ago)**

**Abstract: **In this introductory talk, we will define o-minimality (a way of augmenting algebraic geometry with functions like $e^x$, $\sin$, $\cos$, etc.), and show:

(1) The number of solutions to a system of polynomials equations is bounded by a function of the sizes of the supports of the equations, independent of the sizes of the exponents.

(2) For an irreducible polynomial $f(x,y)$ not of the form $ax^iy^j+bx^ky^l$ there are only finitely many solutions to $f(x,y)=0$ with $x$, $y$ roots of unity.

algebraic geometry

Audience: researchers in the topic

**Stanford algebraic geometry seminar **

**Series comments: **The seminar was online for a significant period of time, but for now is solely in person.
More seminar information (including slides and videos, when available): agstanford.com

Organizer: | Ravi Vakil* |

*contact for this listing |