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Colloquium: Jonathan Montaño NMSU, Degrees and Multiplicities

Event Type: 
Colloquium
Speaker: 
Jonathan Montaño
Event Date: 
Tuesday, October 13, 2020 -
3:30pm to 4:30pm
Location: 
Zoom Meetings: https://unm.zoom.us/j/95603944301
Audience: 
General PublicFaculty/StaffStudentsAlumni/Friends

Event Description: 

Degrees and Multiplicities

Abstract:  In how many points does a curve in the plane intersect a random straight line? The answer to this question is an invariant of the curve called "degree". The notion of degree extends to higher dimensional shapes that are defined in terms of polynomials (varieties) and it is a central invariant lying in the interplay between Algebraic Geometry and Commutative Algebra. In this talk I will give an overview of this theory and its generalization to varieties in multi-spaces. In particular, I will report on recent joint work with Castillo, Cid-Ruiz, Li, and Zhang.

Event Contact

Contact Name: Janet Vassilev

Contact Email: jvassil@math.unm.edu