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BEGIN:VEVENT
SUMMARY:Wahei Hara (Glasgow)
DTSTART;VALUE=DATE-TIME:20210223T100000Z
DTEND;VALUE=DATE-TIME:20210223T110000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/1
DESCRIPTION:Title: Rank two weak Fano bundle on the del Pezzo threefold of degree five\n
by Wahei Hara (Glasgow) as part of Fano Varieties and Birational Geometry\
n\n\nAbstract\nA weak Fano bundle is a vector bundle whose projectivizatio
n has nef and big anti-canonical divisor. In this talk\, we discuss a clas
sification of rank two weak Fano bundles on the del Pezzo threefold X of d
egree 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 wea
k Fano bundles by typical vector bundles on X\, and apply those resolution
s to investigate the moduli spaces of weak Fano bundles. This is joint wor
k with T. Fukuoka and D. Ishikawa.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gavin Brown (Warwick)
DTSTART;VALUE=DATE-TIME:20210223T113000Z
DTEND;VALUE=DATE-TIME:20210223T123000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
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:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Cheltsov (Edinburgh)
DTSTART;VALUE=DATE-TIME:20210223T140000Z
DTEND;VALUE=DATE-TIME:20210223T150000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/3
DESCRIPTION:Title: K-stability of smooth Fano threefolds\nby Ivan Cheltsov (Edinburgh) a
s part of Fano Varieties and Birational Geometry\n\n\nAbstract\nI will exp
lain which smooth Fano threefolds are K-stable and K-polystable.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefano Filipazzi (UCLA)
DTSTART;VALUE=DATE-TIME:20210223T153000Z
DTEND;VALUE=DATE-TIME:20210223T163000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
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 Birational G
eometry\n\n\nAbstract\nLet (X\,B) be a pair (a variety with an effective Q
-divisor)\, and let f: X -> S be a contraction with -(K_X+B) nef over S. A
conjecture\, known as the Shokurov-Koll\\'ar connectedness principle\, pr
edicts that f^{-1}(s) intersect Nklt(X\,B) has at most two connected compo
nents\, where s is an arbitrary point in S and Nklt(X\,B) denotes the 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 talk\, we
discuss a proof of the full conjecture and extend it to the case of gener
alized pairs. Then we apply it to the study of the dual complex of general
ized log Calabi-Yau pairs. This is joint work with Roberto Svaldi.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Takuzo Okada (Saga)
DTSTART;VALUE=DATE-TIME:20210224T100000Z
DTEND;VALUE=DATE-TIME:20210224T110000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/5
DESCRIPTION:Title: Birational geometry of Fano 3-fold WCIs\nby Takuzo Okada (Saga) as pa
rt of Fano Varieties and Birational Geometry\n\nAbstract: TBA\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cinzia Casagrande (Torino)
DTSTART;VALUE=DATE-TIME:20210224T113000Z
DTEND;VALUE=DATE-TIME:20210224T123000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
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\nWe will
talk about a classification result for some (smooth\, complex) Fano 4-fol
ds. We recall that if X is a Fano 4-fold\, the Lefschetz defect delta(X) i
s an invariant of X defined as follows. Consider a prime divisor D in X an
d the restriction r: H^2(X\,R)->H^2(D\,R). Then delta(X) is the maximal di
mension of ker(r)\, where D varies among all prime divisors in X. In a pre
vious work\, we showed that if X is not a product of surfaces\, then delta
(X) is at most 3\, and if moreover delta(X)=3\, then X has Picard number 5
or 6. We will explain that in the case where X has Picard number 5\, ther
e are 6 possible families for X\, among which 4 are toric. This is a joint
work with Eleonora Romano.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tom Ducat (Durham)
DTSTART;VALUE=DATE-TIME:20210224T160000Z
DTEND;VALUE=DATE-TIME:20210224T170000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/8
DESCRIPTION:Title: Reid’s pagoda (and other non-toric flops) done 'torically'\nby Tom
Ducat (Durham) as part of Fano Varieties and Birational Geometry\n\n\nAbst
ract\nEveryone knows that the Atiyah flop can be described in terms of tor
ic geometry by subdividing a square cone in two different ways. Reid’s p
agoda is a geometric construction giving the flop of (-2\,0)-curve and\, a
s such\, can’t be described in terms of toric geometry. Nevertheless\, I
will explain how to obtain the pagoda by subdividing a cone in an integra
l affine manifold in two different ways.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Calum Spicer (King's)
DTSTART;VALUE=DATE-TIME:20210225T100000Z
DTEND;VALUE=DATE-TIME:20210225T110000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/9
DESCRIPTION:Title: Boundedness and Fano foliations\nby Calum Spicer (King's) as part of
Fano Varieties and Birational Geometry\n\nAbstract: TBA\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamid Ahmadinezhad (Loughborough)
DTSTART;VALUE=DATE-TIME:20210225T113000Z
DTEND;VALUE=DATE-TIME:20210225T123000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/10
DESCRIPTION:Title: Seshadri constants\, induction\, and K-stability\nby Hamid Ahmadinez
had (Loughborough) as part of Fano Varieties and Birational Geometry\n\n\n
Abstract\nI will talk about an inductive approach to proving K-stability o
f Fano varieties. As a tool\, I introduce a new bound on the $\\delta$-inv
ariant using Seshadri constants and conclude several K-stability results.
This is join work with Ziquan Zhuang.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Fanelli (Bordeaux)
DTSTART;VALUE=DATE-TIME:20210226T100000Z
DTEND;VALUE=DATE-TIME:20210226T110000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/11
DESCRIPTION:Title: Rational simple connectedness and Fano threefolds\nby Andrea Fanelli
(Bordeaux) as part of Fano Varieties and Birational Geometry\n\nAbstract:
TBA\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesús Martínez García (Essex)
DTSTART;VALUE=DATE-TIME:20210226T113000Z
DTEND;VALUE=DATE-TIME:20210226T123000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/12
DESCRIPTION:Title: Asymptotically log del Pezzo surfaces\nby Jesús Martínez García (
Essex) as part of Fano Varieties and Birational Geometry\n\n\nAbstract\nAs
ymptotically log Fano varieties are a type of log smooth log pairs of vari
eties of Fano pairs introduced by Cheltsov and Rubinstein when studying th
e existence of Kaehler-Einstein metrics with conical singularities of maxi
mal angle. From an MMP point of view they are strictly log canonical and a
s 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 dimensio
ns. An asymptotically log Fano variety\, has an associated convex object k
nown as the body of ample angles. Cheltsov and Rubinstein classified stron
gly asymptotically log del Pezzo surfaces. These are two-dimensional asymp
totically log Fano varieties for which the body of ample angles is maximal
around the origin. This apparently technical condition has striking conse
quences both for the structure and birational geometry of these surfaces\,
making all minimal asymptotically log del Pezzo surfaces to have rank at
most two. The latter condition is what allowed Cheltsov and Rubinstein to
give a full classification of asymptotically log del Pezzo surfaces. In th
is talk\, we introduce these notions while attacking the more general prob
lem of classifying asymptotically log del Pezzo surfaces. We further show
that the body of ample angles is in fact a convex polytope.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Paemurru (Basel)
DTSTART;VALUE=DATE-TIME:20210226T140000Z
DTEND;VALUE=DATE-TIME:20210226T150000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
UID:fano2021/13
DESCRIPTION:Title: Birational geometry of sextic double solids with a compound A_n singular
ity\nby Erik Paemurru (Basel) as part of Fano Varieties and Birational
Geometry\n\nAbstract: TBA\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Cavey (Nottingham)
DTSTART;VALUE=DATE-TIME:20210226T153000Z
DTEND;VALUE=DATE-TIME:20210226T163000Z
DTSTAMP;VALUE=DATE-TIME:20210228T191928Z
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 Geometry\n\n\
nAbstract\nSingularity content is a combinatorial property of a Fano polyg
on that describes geometric properties of the qG-smoothing of the correspo
nding toric Fano variety. We determine restrictions on the singularity con
tent to derive geometric results for certain orbifold del Pezzo surfaces.\
n
LOCATION:
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