BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Ana Maria Castravet (Versailles)
DTSTART;VALUE=DATE-TIME:20210726T130000Z
DTEND;VALUE=DATE-TIME:20210726T135000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/1
DESCRIPTION:Title: Lecture 1: Birational geometry of moduli spaces of ration
al curves\nby Ana Maria Castravet (Versailles) as part of LMS-Bath Sum
mer School on Combinatorial Algebraic Geometry\n\n\nAbstract\nThe Grothend
ieck-Knudsen moduli space of stable\, $n$-pointed rational curves is a fas
cinating object. On one hand\, it is a building block towards moduli space
s of stable curves of arbitrary genus. On the other hand\, its stratificat
ion makes it resemble toric varieties\, which begs the question: to what e
xtent is its geometry similar to the geometry of toric varieties?\n\nIn th
is series of lectures\, I will explain how the Grothendieck–Knudsen modu
li space is in fact similar to the blow-up of a toric variety at the ident
ity point. In particular\, I will discuss the case of toric surfaces blown
up at a point. An application will be the recent result (joint with Lafac
e\, Tevelev\, Ugaglia 2020) that the cone of effective divisors of the Gro
thendieck–Knudsen moduli space is not rational polyhedral when $n \\ge 1
0$\, both on characteristic zero and in characteristic $p$\, for an infini
te set of primes $p$ of positive density.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ilten (Simon Fraser)
DTSTART;VALUE=DATE-TIME:20210726T150000Z
DTEND;VALUE=DATE-TIME:20210726T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/2
DESCRIPTION:Title: Lecture 1: Tangency and tropical geometry\nby Nathan
Ilten (Simon Fraser) as part of LMS-Bath Summer School on Combinatorial Al
gebraic Geometry\n\n\nAbstract\nIn algebraic geometry\, tangency places an
important role in many classical constructions\, including projective dua
lity\, tangential varieties\, and theta characteristics. Tropical geometry
is a powerful set of tools providing a combinatorial shadow of algebraic
geometry. How can we use tools from tropical geometry to study tangency? I
will begin this series of lectures by discussing some elements of classic
al algebraic geometry related to tangency\, and by introducing basic conce
pts of tropical geometry. I will then discuss how tropical geometry can be
used to gain information about dual and tangential varieties\, especially
in the case of curves. Much of what I discuss will be joint work with Yoa
v Len.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Eur (Stanford)
DTSTART;VALUE=DATE-TIME:20210727T150000Z
DTEND;VALUE=DATE-TIME:20210727T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/3
DESCRIPTION:Title: Lecture 1: Geometric models of matroids\nby Chris Eur
(Stanford) as part of LMS-Bath Summer School on Combinatorial Algebraic G
eometry\n\n\nAbstract\nMatroids are combinatorial abstractions of hyperpla
ne arrangements\, and admit several geometric models for studying them. W
e will survey some recent developments arising from different geometric mo
dels of matroids through the lens of tropical and toric geometry. Time pe
rmitting\, we will study a new geometric framework that unifies and extend
s these recent developments\, and discuss some future directions.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Maria Castravet (Versailles)
DTSTART;VALUE=DATE-TIME:20210729T130000Z
DTEND;VALUE=DATE-TIME:20210729T135000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/4
DESCRIPTION:Title: Lecture 2: Birational geometry of moduli spaces of ration
al curves\nby Ana Maria Castravet (Versailles) as part of LMS-Bath Sum
mer School on Combinatorial Algebraic Geometry\n\n\nAbstract\nThe Grothend
ieck-Knudsen moduli space of stable\, $n$-pointed rational curves is a fas
cinating object. On one hand\, it is a building block towards moduli space
s of stable curves of arbitrary genus. On the other hand\, its stratificat
ion makes it resemble toric varieties\, which begs the question: to what e
xtent is its geometry similar to the geometry of toric varieties?\n\nIn th
is series of lectures\, I will explain how the Grothendieck–Knudsen modu
li space is in fact similar to the blow-up of a toric variety at the ident
ity point. In particular\, I will discuss the case of toric surfaces blown
up at a point. An application will be the recent result (joint with Lafac
e\, Tevelev\, Ugaglia 2020) that the cone of effective divisors of the Gro
thendieck–Knudsen moduli space is not rational polyhedral when $n \\ge 1
0$\, both on characteristic zero and in characteristic $p$\, for an infini
te set of primes $p$ of positive density.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Eur (Stanford)
DTSTART;VALUE=DATE-TIME:20210729T150000Z
DTEND;VALUE=DATE-TIME:20210729T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/5
DESCRIPTION:Title: Lecture 2: Geometric models of matroids\nby Chris Eur
(Stanford) as part of LMS-Bath Summer School on Combinatorial Algebraic G
eometry\n\n\nAbstract\nMatroids are combinatorial abstractions of hyperpla
ne arrangements\, and admit several geometric models for studying them. W
e will survey some recent developments arising from different geometric mo
dels of matroids through the lens of tropical and toric geometry. Time pe
rmitting\, we will study a new geometric framework that unifies and extend
s these recent developments\, and discuss some future directions.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ilten (Simon Fraser)
DTSTART;VALUE=DATE-TIME:20210730T150000Z
DTEND;VALUE=DATE-TIME:20210730T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/6
DESCRIPTION:Title: Lecture 2: Tangency and tropical geometry\nby Nathan
Ilten (Simon Fraser) as part of LMS-Bath Summer School on Combinatorial Al
gebraic Geometry\n\n\nAbstract\nIn algebraic geometry\, tangency places an
important role in many classical constructions\, including projective dua
lity\, tangential varieties\, and theta characteristics. Tropical geometry
is a powerful set of tools providing a combinatorial shadow of algebraic
geometry. How can we use tools from tropical geometry to study tangency? I
will begin this series of lectures by discussing some elements of classic
al algebraic geometry related to tangency\, and by introducing basic conce
pts of tropical geometry. I will then discuss how tropical geometry can be
used to gain information about dual and tangential varieties\, especially
in the case of curves. Much of what I discuss will be joint work with Yoa
v Len.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Maria Castravet (Versailles)
DTSTART;VALUE=DATE-TIME:20210802T130000Z
DTEND;VALUE=DATE-TIME:20210802T135000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/7
DESCRIPTION:Title: Lecture 3: Birational geometry of moduli spaces of ration
al curves\nby Ana Maria Castravet (Versailles) as part of LMS-Bath Sum
mer School on Combinatorial Algebraic Geometry\n\n\nAbstract\nThe Grothend
ieck-Knudsen moduli space of stable\, $n$-pointed rational curves is a fas
cinating object. On one hand\, it is a building block towards moduli space
s of stable curves of arbitrary genus. On the other hand\, its stratificat
ion makes it resemble toric varieties\, which begs the question: to what e
xtent is its geometry similar to the geometry of toric varieties?\n\nIn th
is series of lectures\, I will explain how the Grothendieck–Knudsen modu
li space is in fact similar to the blow-up of a toric variety at the ident
ity point. In particular\, I will discuss the case of toric surfaces blown
up at a point. An application will be the recent result (joint with Lafac
e\, Tevelev\, Ugaglia 2020) that the cone of effective divisors of the Gro
thendieck–Knudsen moduli space is not rational polyhedral when $n \\ge 1
0$\, both on characteristic zero and in characteristic $p$\, for an infini
te set of primes $p$ of positive density.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ilten (Simon Fraser)
DTSTART;VALUE=DATE-TIME:20210802T150000Z
DTEND;VALUE=DATE-TIME:20210802T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/8
DESCRIPTION:Title: Lecture 3: Tangency and tropical geometry\nby Nathan
Ilten (Simon Fraser) as part of LMS-Bath Summer School on Combinatorial Al
gebraic Geometry\n\n\nAbstract\nIn algebraic geometry\, tangency places an
important role in many classical constructions\, including projective dua
lity\, tangential varieties\, and theta characteristics. Tropical geometry
is a powerful set of tools providing a combinatorial shadow of algebraic
geometry. How can we use tools from tropical geometry to study tangency? I
will begin this series of lectures by discussing some elements of classic
al algebraic geometry related to tangency\, and by introducing basic conce
pts of tropical geometry. I will then discuss how tropical geometry can be
used to gain information about dual and tangential varieties\, especially
in the case of curves. Much of what I discuss will be joint work with Yoa
v Len.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Eur (Stanford)
DTSTART;VALUE=DATE-TIME:20210803T150000Z
DTEND;VALUE=DATE-TIME:20210803T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/9
DESCRIPTION:Title: Lecture 3: Geometric models of matroids\nby Chris Eur
(Stanford) as part of LMS-Bath Summer School on Combinatorial Algebraic G
eometry\n\n\nAbstract\nMatroids are combinatorial abstractions of hyperpla
ne arrangements\, and admit several geometric models for studying them. W
e will survey some recent developments arising from different geometric mo
dels of matroids through the lens of tropical and toric geometry. Time pe
rmitting\, we will study a new geometric framework that unifies and extend
s these recent developments\, and discuss some future directions.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ilten (Simon Fraser)
DTSTART;VALUE=DATE-TIME:20210804T150000Z
DTEND;VALUE=DATE-TIME:20210804T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/10
DESCRIPTION:Title: Lecture 4: Tangency and tropical geometry\nby Nathan
Ilten (Simon Fraser) as part of LMS-Bath Summer School on Combinatorial A
lgebraic Geometry\n\n\nAbstract\nIn algebraic geometry\, tangency places a
n important role in many classical constructions\, including projective du
ality\, tangential varieties\, and theta characteristics. Tropical geometr
y is a powerful set of tools providing a combinatorial shadow of algebraic
geometry. How can we use tools from tropical geometry to study tangency?
I will begin this series of lectures by discussing some elements of classi
cal algebraic geometry related to tangency\, and by introducing basic conc
epts of tropical geometry. I will then discuss how tropical geometry can b
e used to gain information about dual and tangential varieties\, especiall
y in the case of curves. Much of what I discuss will be joint work with Yo
av Len.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Maria Castravet (Versailles)
DTSTART;VALUE=DATE-TIME:20210806T130000Z
DTEND;VALUE=DATE-TIME:20210806T135000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/11
DESCRIPTION:Title: Lecture 4: Birational geometry of moduli spaces of ratio
nal curves\nby Ana Maria Castravet (Versailles) as part of LMS-Bath Su
mmer School on Combinatorial Algebraic Geometry\n\n\nAbstract\nThe Grothen
dieck-Knudsen moduli space of stable\, $n$-pointed rational curves is a fa
scinating object. On one hand\, it is a building block towards moduli spac
es of stable curves of arbitrary genus. On the other hand\, its stratifica
tion makes it resemble toric varieties\, which begs the question: to what
extent is its geometry similar to the geometry of toric varieties?\n\nIn t
his series of lectures\, I will explain how the Grothendieck–Knudsen mod
uli space is in fact similar to the blow-up of a toric variety at the iden
tity point. In particular\, I will discuss the case of toric surfaces blow
n up at a point. An application will be the recent result (joint with Lafa
ce\, Tevelev\, Ugaglia 2020) that the cone of effective divisors of the Gr
othendieck–Knudsen moduli space is not rational polyhedral when $n \\ge
10$\, both on characteristic zero and in characteristic $p$\, for an infin
ite set of primes $p$ of positive density.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Eur (Stanford)
DTSTART;VALUE=DATE-TIME:20210806T150000Z
DTEND;VALUE=DATE-TIME:20210806T155000Z
DTSTAMP;VALUE=DATE-TIME:20210804T225137Z
UID:LMSBathSchoolCombAlgGeom/12
DESCRIPTION:Title: Lecture 4: Geometric models of matroids\nby Chris Eu
r (Stanford) as part of LMS-Bath Summer School on Combinatorial Algebraic
Geometry\n\n\nAbstract\nMatroids are combinatorial abstractions of hyperpl
ane arrangements\, and admit several geometric models for studying them.
We will survey some recent developments arising from different geometric m
odels of matroids through the lens of tropical and toric geometry. Time p
ermitting\, we will study a new geometric framework that unifies and exten
ds these recent developments\, and discuss some future directions.\n
LOCATION:https://researchseminars.org/talk/LMSBathSchoolCombAlgGeom/12/
END:VEVENT
END:VCALENDAR