Multivariate Splines and Algebraic Geometry - Revision history

Sottile: /* '''Confirmed Speakers''' */

2016-12-24T22:43:16Z

'''Confirmed Speakers'''

←Older revision		Revision as of 22:43, 24 December 2016
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	Peter F. Stiller (Texas A&M)		Peter F. Stiller (Texas A&M)
		+
		+	Frank Sottile (Texas A&M)

	Nelly Villamizar (RICAM Linz)		Nelly Villamizar (RICAM Linz)

Sottile: /* '''Confirmed Speakers''' */

2016-12-24T22:42:19Z

'''Confirmed Speakers'''

←Older revision		Revision as of 22:42, 24 December 2016
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	'''Likely Speakers'''		'''Likely Speakers'''

-		+	Oleg Davydov (Universitaet Giessen)

	Bert Juettler (Johannes Kepler Universitaet, Linz)		Bert Juettler (Johannes Kepler Universitaet, Linz)

Sottile: /* '''Confirmed Speakers''' */

2016-12-24T22:41:46Z

'''Confirmed Speakers'''

←Older revision		Revision as of 22:41, 24 December 2016
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	'''Likely Speakers'''		'''Likely Speakers'''
		+
		+
		+
		+	Bert Juettler (Johannes Kepler Universitaet, Linz)
		+
		+	Hendrik Speleers (Universita di Roma 2)

	Julianna Tymoczko (Smith College)		Julianna Tymoczko (Smith College)

Sottile: /* '''Confirmed Speakers''' */

2016-12-24T22:40:52Z

'''Confirmed Speakers'''

←Older revision		Revision as of 22:40, 24 December 2016
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	'''Likely Speakers'''		'''Likely Speakers'''

-	Julianna Tymoczko	+	Julianna Tymoczko (Smith College)

Sottile: /* '''Confirmed Speakers''' */

2016-12-24T22:38:20Z

'''Confirmed Speakers'''

←Older revision		Revision as of 22:38, 24 December 2016
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	Nelly Villamizar (RICAM Linz)		Nelly Villamizar (RICAM Linz)
		+
		+	'''Likely Speakers'''
		+
		+	Julianna Tymoczko

Sottile at 03:12, 23 December 2016

2016-12-23T03:12:16Z

←Older revision		Revision as of 03:12, 23 December 2016
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	Michael Di Pasquale (Oklahoma State)		Michael Di Pasquale (Oklahoma State)
		+
		+	Bernard Mourrain (INRIA Sophia-Antipolis)
		+
		+	Tatyana Sorokina (Towson University)
		+
		+	Peter F. Stiller (Texas A&M)
		+
		+	Nelly Villamizar (RICAM Linz)

Sottile at 03:07, 23 December 2016

2016-12-23T03:07:57Z

←Older revision		Revision as of 03:07, 23 December 2016
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		+	=='''Overview'''==
		+
	A multivariate spline is a function defined on a domain in $R^d$ with $d>1$		A multivariate spline is a function defined on a domain in $R^d$ with $d>1$
	that is piecewise a polynomial. These objects from approximation theory		that is piecewise a polynomial. These objects from approximation theory
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	space of piecewise cubics on a planar triangulation (especially relevant for		space of piecewise cubics on a planar triangulation (especially relevant for
	applications) is still unknown in general!		applications) is still unknown in general!
		+
		+	== '''Organizers''' ==
		+	Michael Di Pasquale (Oklahoma State)
		+
		+	Frank Sottile (Texas A&M)
		+
		+	== '''Confirmed Speakers''' ==
		+
		+	Michael Di Pasquale (Oklahoma State)

Sottile at 03:06, 23 December 2016

2016-12-23T03:06:02Z

←Older revision		Revision as of 03:06, 23 December 2016
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-	The focus of the proposed minisymposium is on problems in approximation theory	+	A multivariate spline is a function defined on a domain in $R^d$ with $d>1$
-	that may be studied using techniques from commutative algebra and algebraic	+	that is piecewise a polynomial. These objects from approximation theory
		+	may be studied using techniques from commutative algebra and algebraic
	geometry. Research interests of the participants relevant to the minisymposium		geometry. Research interests of the participants relevant to the minisymposium
	fall broadly under multivariate spline theory, interpolation, and geometric		fall broadly under multivariate spline theory, interpolation, and geometric

Sottile: New page: The focus of the proposed minisymposium is on problems in approximation theory that may be studied using techniques from commutative algebra and algebraic geometry. Research interests of...

2016-12-23T03:03:13Z

New page: The focus of the proposed minisymposium is on problems in approximation theory that may be studied using techniques from commutative algebra and algebraic geometry. Research interests of...

New page

The focus of the proposed minisymposium is on problems in approximation theory
that may be studied using techniques from commutative algebra and algebraic
geometry. Research interests of the participants relevant to the minisymposium
fall broadly under multivariate spline theory, interpolation, and geometric
modeling. For instance, a main problem of interest is to study the Hilbert
function and algebraic structure of the spline module; recently there have
been several advances on this front using notions from algebraic geometry.
Nevertheless this problem remains elusive in low degree; the dimension of the
space of piecewise cubics on a planar triangulation (especially relevant for
applications) is still unknown in general!