https://wiki.math.wisc.edu/api.php?action=feedcontributions&user=Tu&feedformat=atomUW-Math Wiki - User contributions [en]2022-12-04T10:04:23ZUser contributionsMediaWiki 1.35.6https://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2011&diff=1665Algebraic Geometry Seminar Spring 20112011-02-11T15:52:35Z<p>Tu: /* Abstracts */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B305.<br />
<br />
The schedule for the previous semester is [https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar_Fall_2010 here].<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan. 21<br />
|Anton Geraschenko (UC Berkeley)<br />
|''Toric Artin Stacks''<br />
|David Brown<br />
|-<br />
|Jan. 28<br />
|Anatoly Libgober (UIC)<br />
|''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials''<br />
|Laurentiu Maxim<br />
|-<br />
|Feb. 4<br />
|Valery Lunts (Indiana-Bloomington)<br />
|''Lefschetz fixed point theorems for algebraic varieties and DG algebras''<br />
|Andrei Caldararu<br />
|-<br />
|Feb. 18<br />
|Tony Várilly-Alvarado (Rice)<br />
|''Failure of the Hasse principle for Enriques surfaces''<br />
|David Brown<br />
|-<br />
|Feb. 25<br />
|Bhargav Bhatt (UMich)<br />
|''TBA''<br />
|Jordan Ellenberg<br />
|-<br />
|Mar. 4<br />
|Si Li (Harvard)<br />
|''Higher Genus Mirror Symmetry''<br />
|Junwu Tu<br />
|-<br />
|Mar. 25<br />
|Srikanth Iyengar (Nebraska)<br />
|''TBA''<br />
|Andrei Caldararu<br />
|-<br />
|April 8<br />
|Greg Pearlstein (Michigan State)<br />
|''TBA''<br />
|Laurentiu Maxim<br />
|-<br />
|May 6<br />
|Hal Schenck (UIUC)<br />
|''TBA''<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Anton Geraschenko''' ''Toric Artin Stacks''<br />
<br />
Toric varieties provide a fantastic testing ground for ideas about varieties. Their main feature is that geometric properties of toric varieties correspond to combinatorial properties of their fans. In this talk, I'll briefly review some facts about toric varieties, then define a notion of a stacky fan and the toric Artin stack associated to a stacky fan. I'll state and prove some results relating the combinatorics of the fan to the geometry of the stack and show some illustrative examples. If time permits, I'll motivate this notion of toric Artin stacks a bit more by discussing how toric Artin stacks defined by fans compare to possible intrinsic definitions of toric Artin stacks. Some experience with toric varieties or stacks is a plus, but not essential.<br />
<br />
'''Anatoly Libgober''' ''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials''<br />
<br />
I will discuss a relation between the Mordell-Weil groups of isotrivial abelian varieties<br />
over function fields of cyclic coverings of projective plane and the Alexander polynomial of the<br />
complement to ramification locus of the latter. The results are based on joint work<br />
with J.I.Cogolludo on families of elliptic curves.<br />
<br />
'''Valery Lunts''' ''Lefschetz fixed point theorems for algebraic varieties and DG algebras''<br />
<br />
I will report on my work in progress about a version of Lefschetz fixed point theorem for <br />
morphisms (more generally for Fourier-Mukai transforms) of smooth projective varieties. There is also <br />
a parallel version for smooth and proper DG algebras.<br />
<br />
'''Si Li''' ''Higher genus mirror symmetry''<br />
<br />
I'll discuss my joint work with Kevin Costello on the geometric<br />
framework of constructing higher genus B-model from perturbative<br />
renormalization of BCOV theory on Calabi-Yau manifolds.<br />
This is conjectured to be the mirror of higher genus Gromov-Witten theory in<br />
the A-model. We carry out the construction in the one-dim cases, i.e.,<br />
elliptic curves, and show that such constructed B-model correlation<br />
functions on the elliptic curve can be identified under the mirror map with<br />
the A-model descendant Gromov-Witten invariants on the mirror. This is the<br />
first compact example where mirror symmetry can<br />
be established at all genera.</div>Tuhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2011&diff=1424Algebraic Geometry Seminar Spring 20112011-01-17T22:03:24Z<p>Tu: /* Spring 2011 */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B305.<br />
<br />
The schedule for the previous semester is [https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar_Fall_2010 here].<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan. 21<br />
|Anton Geraschenko (UC Berkeley)<br />
|''Toric Artin Stacks''<br />
|David Brown<br />
|-<br />
|Jan. 28<br />
|Anatoly Libgober (UIC)<br />
|''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials.''<br />
|Laurentiu Maxim<br />
|-<br />
|Feb. 18<br />
|Tony Várilly-Alvarado (Rice)<br />
|''TBA''<br />
|David Brown<br />
|-<br />
|Feb. 25<br />
|Bhargav Bhatt (UMich)<br />
|''TBA''<br />
|Jordan Ellenberg<br />
|-<br />
|Mar. 4<br />
|Si Li (Harvard)<br />
|Higher Genus Mirror Symmetry<br />
|Junwu Tu<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Anton Geraschenko''' "Toric Artin Stacks"<br />
<br />
Toric varieties provide a fantastic testing ground for ideas about varieties. Their main feature is that geometric properties of toric varieties correspond to combinatorial properties of their fans. In this talk, I'll briefly review some facts about toric varieties, then define a notion of a stacky fan and the toric Artin stack associated to a stacky fan. I'll state and prove some results relating the combinatorics of the fan to the geometry of the stack and show some illustrative examples. If time permits, I'll motivate this notion of toric Artin stacks a bit more by discussing how toric Artin stacks defined by fans compare to possible intrinsic definitions of toric Artin stacks. Some experience with toric varieties or stacks is a plus, but not essential.<br />
<br />
'''Anatoly Libgober''' ''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials."<br />
<br />
I will discuss a relation between the Mordell-Weil groups of isotrivial abelian varieties<br />
over function fields of cyclic coverings of projective plane and the Alexander polynomial of the<br />
complement to ramification locus of the latter. The results are based on joint work<br />
with J.I.Cogolludo on families of elliptic curves.</div>Tuhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2011&diff=1423Algebraic Geometry Seminar Spring 20112011-01-17T22:02:57Z<p>Tu: /* Spring 2011 */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B305.<br />
<br />
The schedule for the previous semester is [https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar_Fall_2010 here].<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan. 21<br />
|Anton Geraschenko (UC Berkeley)<br />
|''Toric Artin Stacks''<br />
|David Brown<br />
|-<br />
|Jan. 28<br />
|Anatoly Libgober (UIC)<br />
|''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials.''<br />
|Laurentiu Maxim<br />
|-<br />
|Feb. 18<br />
|Tony Várilly-Alvarado (Rice)<br />
|''TBA''<br />
|David Brown<br />
|-<br />
|Feb. 25<br />
|Bhargav Bhatt (UMich)<br />
|''TBA''<br />
|Jordan Ellenberg<br />
|-<br />
|Mar. 4<br />
|Si Li (Harvard)<br />
|Higher Genus Mirror Symmetry<br />
|Junwu Tu<br />
}<br />
<br />
== Abstracts ==<br />
<br />
'''Anton Geraschenko''' "Toric Artin Stacks"<br />
<br />
Toric varieties provide a fantastic testing ground for ideas about varieties. Their main feature is that geometric properties of toric varieties correspond to combinatorial properties of their fans. In this talk, I'll briefly review some facts about toric varieties, then define a notion of a stacky fan and the toric Artin stack associated to a stacky fan. I'll state and prove some results relating the combinatorics of the fan to the geometry of the stack and show some illustrative examples. If time permits, I'll motivate this notion of toric Artin stacks a bit more by discussing how toric Artin stacks defined by fans compare to possible intrinsic definitions of toric Artin stacks. Some experience with toric varieties or stacks is a plus, but not essential.<br />
<br />
'''Anatoly Libgober''' ''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials."<br />
<br />
I will discuss a relation between the Mordell-Weil groups of isotrivial abelian varieties<br />
over function fields of cyclic coverings of projective plane and the Alexander polynomial of the<br />
complement to ramification locus of the latter. The results are based on joint work<br />
with J.I.Cogolludo on families of elliptic curves.</div>Tuhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2011&diff=1422Algebraic Geometry Seminar Spring 20112011-01-17T22:02:28Z<p>Tu: /* Spring 2011 */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B305.<br />
<br />
The schedule for the previous semester is [https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar_Fall_2010 here].<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan. 21<br />
|Anton Geraschenko (UC Berkeley)<br />
|''Toric Artin Stacks''<br />
|David Brown<br />
|-<br />
|Jan. 28<br />
|Anatoly Libgober (UIC)<br />
|''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials.''<br />
|Laurentiu Maxim<br />
|-<br />
|Feb. 18<br />
|Tony Várilly-Alvarado (Rice)<br />
|''TBA''<br />
|David Brown<br />
|-<br />
|Feb. 25<br />
|Bhargav Bhatt (UMich)<br />
|''TBA''<br />
|Jordan Ellenberg<br />
|-<br />
|Mar. 4<br />
|Si Li (Harvard)<br />
|Higher Genus Mirror Symmetry<br />
|Junwu Tu}<br />
<br />
== Abstracts ==<br />
<br />
'''Anton Geraschenko''' "Toric Artin Stacks"<br />
<br />
Toric varieties provide a fantastic testing ground for ideas about varieties. Their main feature is that geometric properties of toric varieties correspond to combinatorial properties of their fans. In this talk, I'll briefly review some facts about toric varieties, then define a notion of a stacky fan and the toric Artin stack associated to a stacky fan. I'll state and prove some results relating the combinatorics of the fan to the geometry of the stack and show some illustrative examples. If time permits, I'll motivate this notion of toric Artin stacks a bit more by discussing how toric Artin stacks defined by fans compare to possible intrinsic definitions of toric Artin stacks. Some experience with toric varieties or stacks is a plus, but not essential.<br />
<br />
'''Anatoly Libgober''' ''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials."<br />
<br />
I will discuss a relation between the Mordell-Weil groups of isotrivial abelian varieties<br />
over function fields of cyclic coverings of projective plane and the Alexander polynomial of the<br />
complement to ramification locus of the latter. The results are based on joint work<br />
with J.I.Cogolludo on families of elliptic curves.</div>Tuhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2011&diff=1421Algebraic Geometry Seminar Spring 20112011-01-17T22:01:32Z<p>Tu: /* Spring 2011 */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B305.<br />
<br />
The schedule for the previous semester is [https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar_Fall_2010 here].<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan. 21<br />
|Anton Geraschenko (UC Berkeley)<br />
|''Toric Artin Stacks''<br />
|David Brown<br />
|-<br />
|Jan. 28<br />
|Anatoly Libgober (UIC)<br />
|''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials.''<br />
|Laurentiu Maxim<br />
|-<br />
|Feb. 18<br />
|Tony Várilly-Alvarado (Rice)<br />
|''TBA''<br />
|David Brown<br />
|-<br />
|Feb. 25<br />
|Bhargav Bhatt (UMich)<br />
|''TBA''<br />
|Jordan Ellenberg<br />
|-<br />
|Mar. 4<br />
|Si Li (Harvard)<br />
|Higher Genus Mirror Symmetry<br />
|Junwu Tu<br />
}<br />
<br />
== Abstracts ==<br />
<br />
'''Anton Geraschenko''' "Toric Artin Stacks"<br />
<br />
Toric varieties provide a fantastic testing ground for ideas about varieties. Their main feature is that geometric properties of toric varieties correspond to combinatorial properties of their fans. In this talk, I'll briefly review some facts about toric varieties, then define a notion of a stacky fan and the toric Artin stack associated to a stacky fan. I'll state and prove some results relating the combinatorics of the fan to the geometry of the stack and show some illustrative examples. If time permits, I'll motivate this notion of toric Artin stacks a bit more by discussing how toric Artin stacks defined by fans compare to possible intrinsic definitions of toric Artin stacks. Some experience with toric varieties or stacks is a plus, but not essential.<br />
<br />
'''Anatoly Libgober''' ''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials."<br />
<br />
I will discuss a relation between the Mordell-Weil groups of isotrivial abelian varieties<br />
over function fields of cyclic coverings of projective plane and the Alexander polynomial of the<br />
complement to ramification locus of the latter. The results are based on joint work<br />
with J.I.Cogolludo on families of elliptic curves.</div>Tuhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2011&diff=1420Algebraic Geometry Seminar Spring 20112011-01-17T22:00:46Z<p>Tu: /* Spring 2011 */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B305.<br />
<br />
The schedule for the previous semester is [https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar_Fall_2010 here].<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan. 21<br />
|Anton Geraschenko (UC Berkeley)<br />
|''Toric Artin Stacks''<br />
|David Brown<br />
|-<br />
|Jan. 28<br />
|Anatoly Libgober (UIC)<br />
|''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials.''<br />
|Laurentiu Maxim<br />
|-<br />
|Feb. 18<br />
|Tony Várilly-Alvarado (Rice)<br />
|''TBA''<br />
|David Brown<br />
|-<br />
|Feb. 25<br />
|Bhargav Bhatt (UMich)<br />
|''TBA''<br />
|Jordan Ellenberg<br />
|<br />
|-<br />
|Mar. 4<br />
|Si Li (Harvard)<br />
|Higher Genus Mirror Symmetry<br />
|Junwu Tu<br />
}<br />
<br />
== Abstracts ==<br />
<br />
'''Anton Geraschenko''' "Toric Artin Stacks"<br />
<br />
Toric varieties provide a fantastic testing ground for ideas about varieties. Their main feature is that geometric properties of toric varieties correspond to combinatorial properties of their fans. In this talk, I'll briefly review some facts about toric varieties, then define a notion of a stacky fan and the toric Artin stack associated to a stacky fan. I'll state and prove some results relating the combinatorics of the fan to the geometry of the stack and show some illustrative examples. If time permits, I'll motivate this notion of toric Artin stacks a bit more by discussing how toric Artin stacks defined by fans compare to possible intrinsic definitions of toric Artin stacks. Some experience with toric varieties or stacks is a plus, but not essential.<br />
<br />
'''Anatoly Libgober''' ''Mordell Weil groups of iso-trivial abelian varieties and Alexander polynomials."<br />
<br />
I will discuss a relation between the Mordell-Weil groups of isotrivial abelian varieties<br />
over function fields of cyclic coverings of projective plane and the Alexander polynomial of the<br />
complement to ramification locus of the latter. The results are based on joint work<br />
with J.I.Cogolludo on families of elliptic curves.</div>Tu