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SILO Seminar Series: Jose Israel Rodriguez
October 4, 2017 @ 12:30 pm - 1:30 pm
Rodriguez Seminar Video
Numerical algebraic geometry uses numerical algorithms to study algebraic varieties, which are sets defined by polynomial equations.
It is becoming a core tool in applications of algebraic geometry outside of mathematics. Its fundamental concept is a witness set which gives a representation of a variety that may be manipulated on a computer. The trace test is used to verify that a witness set is complete and provide stopping criteria for algorithms. In this talk we discuss witness sets and how the trace test is used in applications. If time permits we show how a dimension reduction leads to a practical trace test for algebraic varieties in product spaces, which is the natural setting for solutions of parameterized polynomial systems. A background in algebraic geometry will not be assumed.
Joint work with Anton Leykin and Frank Sottile: https://arxiv.org/pdf/1608.00540.pdf
SILO is a lecture series with speakers from the UW faculty, graduate students or invited researchers that discuss mathematical related topics. The seminars are organized by WID’s Optimization research group.
SILO’s purpose is to provide a forum that helps connect and recruit mathematically-minded graduate students. SILO is a lunch-and-listen format, where speakers present interesting math topics while the audience eats lunch.