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SUMMARY:Sandra Di Rocco (KTH Royal Institute of Technology)
DTSTART;VALUE=DATE-TIME:20201029T163000Z
DTEND;VALUE=DATE-TIME:20201029T173000Z
DTSTAMP;VALUE=DATE-TIME:20210419T090041Z
UID:VCUcolloq/1
DESCRIPTION:Title: Geometry of Data\nby Sandra Di Rocco (KTH Royal Institute of Technol
ogy) as part of VCU mathematics and applied mathematics colloquium series\
n\n\nAbstract\nCollecting and more importantly analysing (big) sets of dat
a is one of the greatest challenges of our society. One possible tool is g
eometrical data analysis\, i.e.\, appropriately embed the data points on a
geometrical object\, for example using polynomials. Many problems in scie
nce can be described by polynomial equations. The solution set of the corr
esponding polynomial system is referred to as an algebraic geometrical mod
el for the problem. We will see how geometrical modeling is used in fields
like Kinematics and Biochemistry. Sampling\, i.e.\, appropriately choosin
g data points on the model\, is a powerful technique in the study of geome
trical models. The key challenge is to estimate the right density of the
data points in order to recover the shape of the model. An exciting and s
urprising aspect of the story is that classical geometrical tools (from ea
rly 1900) have shown to be effective and essential for data analysis.\n
LOCATION:https://researchseminars.org/talk/VCUcolloq/1/
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SUMMARY:Ken Ono (University of Virginia)
DTSTART;VALUE=DATE-TIME:20210408T220000Z
DTEND;VALUE=DATE-TIME:20210408T230000Z
DTSTAMP;VALUE=DATE-TIME:20210419T090041Z
UID:VCUcolloq/2
DESCRIPTION:Title: Why Does Ramanujan\, “The Man Who Knew Infinity\,” Matter?\nby K
en Ono (University of Virginia) as part of VCU mathematics and applied mat
hematics colloquium series\n\n\nAbstract\nSrinivasa Ramanujan\, one of the
most inspirational figures in the history of mathematics\, was an amateur
gifted mathematician from lush south India who left behind three notebook
s that engineers\, mathematicians\, and physicists continue to mine today.
Born in 1887\, Ramanujan was a two-time college dropout. He could have ea
sily been lost to the world\, a thought that scientists cannot begin to ab
sorb. He died in 1920. Prof. Ono will explain why Ramanujan matters today
and will share several clips from the film\, “The Man Who Knew Infinity\
,” starring Dev Patel and Jeremy Irons. Professor Ono served as an assoc
iate producer and mathematical consultant for the film.\n
LOCATION:https://researchseminars.org/talk/VCUcolloq/2/
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SUMMARY:Carolina Araujo (IMPA)
DTSTART;VALUE=DATE-TIME:20210924T200000Z
DTEND;VALUE=DATE-TIME:20210924T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T090041Z
UID:VCUcolloq/3
DESCRIPTION:by Carolina Araujo (IMPA) as part of VCU mathematics and appli
ed mathematics colloquium series\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/VCUcolloq/3/
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SUMMARY:Gregory Smith (Queen's University)
DTSTART;VALUE=DATE-TIME:20210416T200000Z
DTEND;VALUE=DATE-TIME:20210416T210000Z
DTSTAMP;VALUE=DATE-TIME:20210419T090041Z
UID:VCUcolloq/4
DESCRIPTION:Title: Sums of Squares: a real projective story\nby Gregory Smith (Queen's
University) as part of VCU mathematics and applied mathematics colloquium
series\n\n\nAbstract\nA multivariate real polynomial is nonnegative if its
value at any real point is greater than or equal to zero. These special
polynomials play a central role in many branches of mathematics including
algebraic geometry\, optimization theory\, and dynamical systems. However
\, deciding whether a given polynomial is nonnegative is a hard problem.
In this talk\, we will review some general methods for certifying that a p
olynomial is nonnegative. We will then present optimal certificates in so
me important cases. This talk is based on joint work with Grigoriy Blekher
man\, Rainer Sinn\, and Mauricio Velasco.\n
LOCATION:https://researchseminars.org/talk/VCUcolloq/4/
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