Department of Mathematics Calendar

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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Algebraic Geometry Seminar

Event Type
Seminar/Symposium
Sponsor
Christopher Dodd
Location
347 Altgeld Hall
Date
Oct 11, 2022   3:00 pm  
Speaker
Bradley Dirks
Contact
Christopher Dodd
E-Mail
csdodd2@illinois.edu
Phone
217-217-5498
Views
30
Bradley Dirks | Minimal Exponents for Hypersurfaces and Locally Complete Intersections
 
Abstract: The minimal exponent of a hypersurface is an important singularity invariant which, in the case of isolated singularities in the 1980s, was studied via the cohomology of the Milnor fiber of the hypersurface. In general, it is studied using differential operators and the Bernstein-Sato polynomial. In this talk, I will define the minimal exponent for hypersurfaces, give some examples and properties, and explain recent joint work with Chen, Mustață and Olano in which we define and study the invariant for locally complete intersection singularities. Time permitting, I will relate this invariant to the classification of singularities for such varieties.
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