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SUMMARY:Gavril Farkas (Humboldt University in Berlin)
DTSTART;VALUE=DATE-TIME:20210610T130000Z
DTEND;VALUE=DATE-TIME:20210610T140000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/1
DESCRIPTION:Title: The Kodaira dimension of the moduli space of curves: recent pr
ogress on a century-old problem\nby Gavril Farkas (Humboldt University
in Berlin) as part of Richmond geometry festival\n\n\nAbstract\nThe probl
em of determining the birational nature of the moduli space of curves of g
enus g has received constant attention in the last century and inspired a
lot of development in moduli theory. I will discuss progress achieved in t
he last 12 months. In particular\, making essential of tropical methods it
has been showed that both moduli spaces of curves of genus 22 and 23 are
of general type (joint with D. Jensen and S. Payne).\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/1/
END:VEVENT
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SUMMARY:Eugene Gorsky (University of California Davis)
DTSTART;VALUE=DATE-TIME:20210610T150000Z
DTEND;VALUE=DATE-TIME:20210610T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/2
DESCRIPTION:Title: Braid varieties\nby Eugene Gorsky (University of Californi
a Davis) as part of Richmond geometry festival\n\n\nAbstract\nIn the talk
I will define braid varieties\, a class of affine algebraic varieties asso
ciated to positive braids. I will discuss their relation to Richardson and
positroid varieties\, HOMFLY polynomial and Legendrian link invariants. T
his is a joint work with Roger Casals\, Mikhail Gorsky and Jose Simental R
odriguez.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/2/
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SUMMARY:Ana-Maria Castravet (Université Paris-Saclay\, UVSQ)
DTSTART;VALUE=DATE-TIME:20210610T173000Z
DTEND;VALUE=DATE-TIME:20210610T183000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/3
DESCRIPTION:Title: Effective cones of moduli spaces of stable rational curves
\nby Ana-Maria Castravet (Université Paris-Saclay\, UVSQ) as part of Rich
mond geometry festival\n\n\nAbstract\nI will report on joint work with Ant
onio Laface\, Jenia Tevelev and Luca Ugaglia. We construct examples of pro
jective toric surfaces whose blow-up at a general point has a non-polyhed
ral effective cone\, both in characteristic 0 and in prime characteristic.
As a consequence\, we prove that the effective cone of the Grothendieck-
Knudsen moduli space of stable\, n-pointed\, rational stable curves\, is n
ot polyhedral if n>=10 in characteristic 0 and in positive characteristic
.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/3/
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SUMMARY:Robert Lipshitz (University of Oregon)
DTSTART;VALUE=DATE-TIME:20210610T193000Z
DTEND;VALUE=DATE-TIME:20210610T203000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/4
DESCRIPTION:Title: Khovanov homology\, Khovanov homotopy\nby Robert Lipshitz
(University of Oregon) as part of Richmond geometry festival\n\n\nAbstract
\nKhovanov homology is a refinement of the Jones polynomial of a knot. Lik
e the Jones polynomial\, Khovanov homology is constructed by considering a
ll the resolutions of a knot diagram. It turns out that this construction
can be refined to associate instead a stable homotopy type to a knot\, who
se singular homology is Khovanov homology. In this talk\, we will survey t
he definition of Khovanov homology\, its structure\, and some of its appli
cations\, and then discuss briefly how the stable homotopy refinement of i
t is constructed\, and some computations and (modest) applications of that
refinement. This is joint work with Tyler Lawson and Sucharit Sarkar.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/4/
END:VEVENT
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SUMMARY:Claudius Zibrowius (University of Regensburg)
DTSTART;VALUE=DATE-TIME:20210611T130000Z
DTEND;VALUE=DATE-TIME:20210611T140000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/5
DESCRIPTION:Title: Thin links and Conway spheres\nby Claudius Zibrowius (Univ
ersity of Regensburg) as part of Richmond geometry festival\n\n\nAbstract\
nWhen does Dehn surgery along a knot give an L-space? More generally\, whe
n does splicing two knot complements give an L-space? Hanselman\, Rasmuss
en\, and Watson gave very compelling answers to these questions using thei
r technology of immersed curves for three-manifolds with torus boundary.
Similar invariants have been developed for Conway tangles. We use those in
variants to study various notions of thinness in both Heegaard Floer and K
hovanov homology from the perspective of tangle decompositions along Conwa
y spheres. Interestingly\, our results bear strong resemblance to the afo
rementioned results about L-spaces. This is joint work with Artem Kotelsk
iy and Liam Watson.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Orsola Tommasi (University of Padova)
DTSTART;VALUE=DATE-TIME:20210611T150000Z
DTEND;VALUE=DATE-TIME:20210611T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/6
DESCRIPTION:Title: Stable cohomology of complements of discriminants and moduli s
paces\nby Orsola Tommasi (University of Padova) as part of Richmond ge
ometry festival\n\n\nAbstract\nThe discriminant of a space of functions is
the closed subset consisting of the functions which are singular in some
sense. In our case\, we will consider the space of non-singular sections o
f a very ample line bundle L on a fixed non-singular variety. In this set-
up\, Vakil and Wood proved a stabilization behaviour for the class of comp
lements of discriminants in the Grothendieck group of varieties.\n\nIn thi
s talk\, I will discuss a topological approach for obtaining the cohomolog
ical counterpart of Vakil and Wood's result\, which implies that the k-th
cohomology group of the space of non-singular sections remains the same if
one takes a sufficiently high power of the line bundle L. As an applicati
on\, I will present a result by my PhD student Angelina Zheng on the stabi
lization of the cohomology of the moduli space of trigonal curves.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/6/
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SUMMARY:Jennifer Hom (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20210611T173000Z
DTEND;VALUE=DATE-TIME:20210611T183000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/7
DESCRIPTION:Title: Unknotting number and satellites\nby Jennifer Hom (Georgia
Tech) as part of Richmond geometry festival\n\n\nAbstract\nThe unknotting
number of a knot is the minimum number of crossing changes needed to unti
e the knot. It is one of the simplest knot invariants to define\, yet rema
ins notoriously difficult to compute. We will survey some basic knot theor
y invariants and constructions\, including the satellite knot construction
\, a straightforward way to build new families of knots. We will give a lo
wer bound on the unknotting number of certain satellites using knot Floer
homology. This is joint work in progress with Tye Lidman and JungHwan Park
.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dawei Chen (Boston College)
DTSTART;VALUE=DATE-TIME:20210611T193000Z
DTEND;VALUE=DATE-TIME:20210611T203000Z
DTSTAMP;VALUE=DATE-TIME:20210612T233520Z
UID:RVAGeometryFestival/8
DESCRIPTION:Title: Volumes and intersection theory on moduli spaces\nby Dawei
Chen (Boston College) as part of Richmond geometry festival\n\n\nAbstract
\nA differential defines a flat metric with conical singularities that can
realize the underlying Riemann surface as a polygon. The edge coordinates
of such polygons induce a volume form on the moduli space of differential
s. In this talk I will explain how to compute this volume via intersection
theory on the moduli space of Riemann surfaces.\n
LOCATION:https://researchseminars.org/talk/RVAGeometryFestival/8/
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