University of South Carolina Number Theory Seminar - Google Drive
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Number Theory Seminar
University of South Carolina, Spring 2013
Note: The seminar has been moved to Fridays at 2:30 p.m.
The seminar is organized by Matt Boylan, Michael Filaseta, and Frank Thorne. We
warmly welcome outside visitors. Please contact any of the organizers if you are visiting
and would like to speak!
Click here to edit and here for the organizers’ page. Please contact Frank to be added to the list of admins.
Unless indicated otherwise, all talks start at 11:00 in LeConte 312.
Thursday, January 17, 3:30 p.m. in LC 412 (Colloquium and job interview)
Speaker: Yu-jong Tzeng (Harvard)
Title: Enumerative Geometry: from Classical to Modern
Abstract:
The subject of enumerative geometry goes back at least to the middle of the 19th
century. It studies the number of geometric objects in a given class that satisfy a number
of incidence or tangency conditions. For example,
(a) How many lines pass through distinct 2 points?
(b) How many lines pass through 4 general lines in 3-space?
(c) How many rational cubics pass through 9 points on the projective plane?
The field has been very active in the last twenty years due to its interaction with physics,
which provides motivation for many theories and conjectural formulas.
One of the most famous problem in enumerative geometry is computing Severi degrees,
which are the numbers of degree d plane curves with a given number of nodes and
pass through an appropriate number of points in general position. The computation of
Severi degrees, as well as counting nodal curves on other surfaces are great examples
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