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BEGIN:VEVENT
SUMMARY:Wahei Hara (Glasgow)
DTSTART:20210223T100000Z
DTEND:20210223T110000Z
DTSTAMP:20260404T094309Z
UID:fano2021/1
DESCRIPTION:Title: Rank two weak Fano bundle on the del Pezzo threefold of degree fiv
e\nby Wahei Hara (Glasgow) as part of Fano Varieties and Birational Ge
ometry\n\n\nAbstract\nA weak Fano bundle is a vector bundle whose projecti
vization has nef and big anti-canonical divisor. In this talk\, we discuss
a classification of rank two weak Fano bundles on the del Pezzo threefold
X of degree five. In particular\, we see that stable weak Fano bundles on
X with trivial first Chern class are instanton in the sense of Kuznetsov.
After that\, using the theory of derived categories\, we give resolutions
of weak Fano bundles by typical vector bundles on X\, and apply those res
olutions to investigate the moduli spaces of weak Fano bundles. This is jo
int work with T. Fukuoka and D. Ishikawa.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gavin Brown (Warwick)
DTSTART:20210223T113000Z
DTEND:20210223T123000Z
DTSTAMP:20260404T094309Z
UID:fano2021/2
DESCRIPTION:Title: Some normal forms for flops\nby Gavin Brown (Warwick) as part
of Fano Varieties and Birational Geometry\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Cheltsov (Edinburgh)
DTSTART:20210223T140000Z
DTEND:20210223T150000Z
DTSTAMP:20260404T094309Z
UID:fano2021/3
DESCRIPTION:Title: K-stability of smooth Fano threefolds\nby Ivan Cheltsov (Edinb
urgh) as part of Fano Varieties and Birational Geometry\n\n\nAbstract\nI w
ill explain which smooth Fano threefolds are K-stable and K-polystable.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefano Filipazzi (UCLA)
DTSTART:20210223T153000Z
DTEND:20210223T163000Z
DTSTAMP:20260404T094309Z
UID:fano2021/4
DESCRIPTION:Title: On the connectedness principle and dual complexes for generalized
pairs\nby Stefano Filipazzi (UCLA) as part of Fano Varieties and Birat
ional Geometry\n\n\nAbstract\nLet (X\,B) be a pair (a variety with an effe
ctive Q-divisor)\, and let f: X -> S be a contraction with -(K_X+B) nef ov
er S. A conjecture\, known as the Shokurov-Koll\\'ar connectedness princip
le\, predicts that f^{-1}(s) intersect Nklt(X\,B) has at most two connecte
d components\, where s is an arbitrary point in S and Nklt(X\,B) denotes t
he non-klt locus of (X\,B). The conjecture is known in some cases\, namely
when -(K_X+B) is big over S\, and when it is Q-trivial over S. In this ta
lk\, we discuss a proof of the full conjecture and extend it to the case o
f generalized pairs. Then we apply it to the study of the dual complex of
generalized log Calabi-Yau pairs. This is joint work with Roberto Svaldi.\
n
LOCATION:https://stable.researchseminars.org/talk/fano2021/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Takuzo Okada (Saga)
DTSTART:20210224T100000Z
DTEND:20210224T110000Z
DTSTAMP:20260404T094309Z
UID:fano2021/5
DESCRIPTION:Title: Birational geometry of Fano 3-fold WCIs\nby Takuzo Okada (Saga
) as part of Fano Varieties and Birational Geometry\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cinzia Casagrande (Torino)
DTSTART:20210224T113000Z
DTEND:20210224T123000Z
DTSTAMP:20260404T094309Z
UID:fano2021/6
DESCRIPTION:Title: On Fano 4-folds with Lefschetz defect 3\nby Cinzia Casagrande
(Torino) as part of Fano Varieties and Birational Geometry\n\n\nAbstract\n
We will talk about a classification result for some (smooth\, complex) Fan
o 4-folds. We recall that if X is a Fano 4-fold\, the Lefschetz defect del
ta(X) is an invariant of X defined as follows. Consider a prime divisor D
in X and the restriction r: H^2(X\,R)->H^2(D\,R). Then delta(X) is the max
imal dimension of ker(r)\, where D varies among all prime divisors in X. I
n a previous work\, we showed that if X is not a product of surfaces\, the
n delta(X) is at most 3\, and if moreover delta(X)=3\, then X has Picard n
umber 5 or 6. We will explain that in the case where X has Picard number 5
\, there are 6 possible families for X\, among which 4 are toric. This is
a joint work with Eleonora Romano.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tom Ducat (Durham)
DTSTART:20210224T160000Z
DTEND:20210224T170000Z
DTSTAMP:20260404T094309Z
UID:fano2021/8
DESCRIPTION:Title: Reid’s pagoda (and other non-toric flops) done 'torically'\n
by Tom Ducat (Durham) as part of Fano Varieties and Birational Geometry\n\
n\nAbstract\nEveryone knows that the Atiyah flop can be described in terms
of toric geometry by subdividing a square cone in two different ways. Rei
d’s pagoda is a geometric construction giving the flop of (-2\,0)-curve
and\, as such\, can’t be described in terms of toric geometry. Neverthel
ess\, I will explain how to obtain the pagoda by subdividing a cone in an
integral affine manifold in two different ways.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Calum Spicer (King's)
DTSTART:20210225T100000Z
DTEND:20210225T110000Z
DTSTAMP:20260404T094309Z
UID:fano2021/9
DESCRIPTION:Title: Boundedness and Fano foliations\nby Calum Spicer (King's) as p
art of Fano Varieties and Birational Geometry\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamid Ahmadinezhad (Loughborough)
DTSTART:20210225T113000Z
DTEND:20210225T123000Z
DTSTAMP:20260404T094309Z
UID:fano2021/10
DESCRIPTION:Title: Seshadri constants\, induction\, and K-stability\nby Hamid Ah
madinezhad (Loughborough) as part of Fano Varieties and Birational Geometr
y\n\n\nAbstract\nI will talk about an inductive approach to proving K-stab
ility of Fano varieties. As a tool\, I introduce a new bound on the $\\del
ta$-invariant using Seshadri constants and conclude several K-stability re
sults. This is join work with Ziquan Zhuang.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Fanelli (Bordeaux)
DTSTART:20210226T100000Z
DTEND:20210226T110000Z
DTSTAMP:20260404T094309Z
UID:fano2021/11
DESCRIPTION:Title: Rational simple connectedness and Fano threefolds\nby Andrea
Fanelli (Bordeaux) as part of Fano Varieties and Birational Geometry\n\nAb
stract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesús Martínez García (Essex)
DTSTART:20210226T113000Z
DTEND:20210226T123000Z
DTSTAMP:20260404T094309Z
UID:fano2021/12
DESCRIPTION:Title: Asymptotically log del Pezzo surfaces\nby Jesús Martínez Ga
rcía (Essex) as part of Fano Varieties and Birational Geometry\n\n\nAbstr
act\nAsymptotically log Fano varieties are a type of log smooth log pairs
of varieties of Fano pairs introduced by Cheltsov and Rubinstein when stud
ying the existence of Kaehler-Einstein metrics with conical singularities
of maximal angle. From an MMP point of view they are strictly log canonica
l and as such\, they do not belong to a finite number of families. However
\, one may hope to give a fairly explicit classification for them in low d
imensions. An asymptotically log Fano variety\, has an associated convex o
bject known as the body of ample angles. Cheltsov and Rubinstein classifie
d strongly asymptotically log del Pezzo surfaces. These are two-dimensiona
l asymptotically log Fano varieties for which the body of ample angles is
maximal around the origin. This apparently technical condition has strikin
g consequences both for the structure and birational geometry of these sur
faces\, making all minimal asymptotically log del Pezzo surfaces to have r
ank at most two. The latter condition is what allowed Cheltsov and Rubinst
ein to give a full classification of asymptotically log del Pezzo surfaces
. In this talk\, we introduce these notions while attacking the more gener
al problem of classifying asymptotically log del Pezzo surfaces. We furthe
r show that the body of ample angles is in fact a convex polytope.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Paemurru (Basel)
DTSTART:20210226T140000Z
DTEND:20210226T150000Z
DTSTAMP:20260404T094309Z
UID:fano2021/13
DESCRIPTION:Title: Birational geometry of sextic double solids with a compound A_n s
ingularity\nby Erik Paemurru (Basel) as part of Fano Varieties and Bir
ational Geometry\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Cavey (Nottingham)
DTSTART:20210226T153000Z
DTEND:20210226T163000Z
DTSTAMP:20260404T094309Z
UID:fano2021/14
DESCRIPTION:Title: Restrictions on the Singularity Content of a Fano Polygon\nby
Daniel Cavey (Nottingham) as part of Fano Varieties and Birational Geomet
ry\n\n\nAbstract\nSingularity content is a combinatorial property of a Fan
o polygon that describes geometric properties of the qG-smoothing of the c
orresponding toric Fano variety. We determine restrictions on the singular
ity content to derive geometric results for certain orbifold del Pezzo sur
faces.\n
LOCATION:https://stable.researchseminars.org/talk/fano2021/14/
END:VEVENT
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