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SUMMARY:Caucher Birkar (University of Cambridge)
DTSTART;VALUE=DATE-TIME:20210216T160000Z
DTEND;VALUE=DATE-TIME:20210216T170000Z
DTSTAMP;VALUE=DATE-TIME:20240328T084151Z
UID:Algebraicgeometry/1
DESCRIPTION:Title: Classification theory of algebraic varieties (1)\nby Caucher
Birkar (University of Cambridge) as part of Monroe Martin lectures\n\n\nA
bstract\nThe first lecture is for the general audience. But the other two
are for people with an algebraic geometry background.\n\nAbstract: The cla
ssification of algebraic varieties is at the heart of algebraic geometry.
With roots in the ancient world the theory saw great advances in dimension
s one and two in the 19th century and the first half of 20th century. It w
as only in the 1970-80's that a general framework was formulated\, and by
the early 1990's a satisfactory theory was developed in dimension 3. The l
ast 30 years has seen great progress in all dimensions.\n\nIn the first le
cture I will try to give a historical perspective and discuss the theory i
n general terms. I will explain how the theory is based on birational tran
sformations and moduli considerations.\n
LOCATION:https://researchseminars.org/talk/Algebraicgeometry/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Caucher Birkar (University of Cambridge)
DTSTART;VALUE=DATE-TIME:20210218T160000Z
DTEND;VALUE=DATE-TIME:20210218T170000Z
DTSTAMP;VALUE=DATE-TIME:20240328T084151Z
UID:Algebraicgeometry/2
DESCRIPTION:Title: Classification theory of algebraic varieties (2)\nby Caucher
Birkar (University of Cambridge) as part of Monroe Martin lectures\n\n\nA
bstract\nThe first lecture is for the general audience. But the other two
are for people with an algebraic geometry background.\n\nAbstract: The cla
ssification of algebraic varieties is at the heart of algebraic geometry.
With roots in the ancient world the theory saw great advances in dimension
s one and two in the 19th century and the first half of 20th century. It w
as only in the 1970-80's that a general framework was formulated\, and by
the early 1990's a satisfactory theory was developed in dimension 3. The l
ast 30 years has seen great progress in all dimensions.\n\nIn the second l
ecture I will discuss log Calabi-Yau fibrations. This is a class of spaces
which includes Fano and Calabi-Yau varieties and their local counterparts
. They are of great importance in the classification theory and well beyon
d.\n
LOCATION:https://researchseminars.org/talk/Algebraicgeometry/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Caucher Birkar (University of Cambridge)
DTSTART;VALUE=DATE-TIME:20210219T170000Z
DTEND;VALUE=DATE-TIME:20210219T180000Z
DTSTAMP;VALUE=DATE-TIME:20240328T084151Z
UID:Algebraicgeometry/3
DESCRIPTION:Title: Classification theory of algebraic varieties (3)\nby Caucher
Birkar (University of Cambridge) as part of Monroe Martin lectures\n\n\nA
bstract\nThe first lecture is for the general audience. But the other two
are for people with an algebraic geometry background.\n\nAbstract: The cla
ssification of algebraic varieties is at the heart of algebraic geometry.
With roots in the ancient world the theory saw great advances in dimension
s one and two in the 19th century and the first half of 20th century. It w
as only in the 1970-80's that a general framework was formulated\, and by
the early 1990's a satisfactory theory was developed in dimension 3. The l
ast 30 years has seen great progress in all dimensions.\n\nIn the third le
cture I will talk about generalised pairs. This is a recently developed no
tion generalising the notions of varieties and pairs. It has found many ap
plications and fits well into the classification theory.\n
LOCATION:https://researchseminars.org/talk/Algebraicgeometry/3/
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