Seminar Calendar
for algebraic geometry events the next 4 month of Monday, January 14, 2008.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery. 
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Tuesday, January 29, 2008

Algebraic Geometry
3:00 pm   in Altgeld Hall,  Tuesday, January 29, 2008
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Submitted by whaboush.
John D'Angelo (UIUC math)
multiplier ideals, a prequel.
Abstract: I will discuss Kohn's theory of subelliptic multipliers, its connection to the Cauchy-Riemann equations, and an interesting problem in commutative algebra motivated by these considerations. In the second talk I will give one new result concerning effectiveness of Kohn's algorithm for finding subelliptic multipliers.

Tuesday, February 12, 2008

Women in Math
5:00 pm   in 243 Altgeld Hall,  Tuesday, February 12, 2008
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Submitted by chasman.
Mee Seong Im (UIUC Math)
Geometric Invariants of Blow-Ups and del Pezzo surfaces
Abstract: I will first give a brief background on algebraic geometry and then introduce the notion of blow-ups with some examples. I will then give some applications of blow-ups to del Pezzo surfaces which are 2-dimensional Fano Varieties. If time allows, I will discuss how Fano manifolds are obtained by blowing-up non Fano manifolds.

Tuesday, February 26, 2008

Algebraic Geometry Seminar
3:00 pm   in 243 Altgeld Hall,  Tuesday, February 26, 2008
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Submitted by nevins.
Anton Malkin (UIUC)
Affine Grassmannian 101
Abstract: This is an opening act for Cautis' talk next week. I'll try to explain basic geometry of the affine Grassmannian (a set of C[[t]]-lattices in a C((t))-linear space). There will be nothing new/advanced/original or particularly "algebro-geometric. Everyone is welcome.

Thursday, February 28, 2008

Special (Algebraic) Geometry Seminar
3:00 pm   in 241 Altgeld Hall,  Thursday, February 28, 2008
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Submitted by nevins.
Thomas Nevins (UIUC)
Braid Group Actions and (Derived) Categories
Abstract: I'll give an introduction to braid group actions on categories with an emphasis on particular examples that arise in nature. Such actions appear in connection with representation theory (via flag manifolds, etc.), symplectic geometry (Fukaya categories), and mathematical physics (topological field theories). In spite of the fancy collection of keywords mentioned in the previous sentence, the goal of this talk will be to just explain a few basics, assuming very little background, that will help give some perspective to Cautis's talk in the Algebraic Geometry Seminar the following week.

Tuesday, March 4, 2008

Algebraic Geometry Seminar
3:00 pm   in 243 Altgeld Hall,  Tuesday, March 4, 2008
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Submitted by nevins.
Sabin Cautis (Rice University)
Knot homology via coherent sheaves
Abstract: We describe how to use coherent sheaves on certain flag-like varieties to construct invariants of knots such as Khovanov homology. This is joint work with Joel Kamnitzer.

Tuesday, March 11, 2008

Algebraic Geometry
3:00 pm   in 243 Altgeld Hall,  Tuesday, March 11, 2008
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Submitted by whaboush.
Donu Arapura (Purdue Math)
Frobenius Amplitude and Vanishing
Abstract: Abstract: I want to explain a measure of positivity for a vector bundle, or more generally an object in the derived category of coherent sheaves, over an algebraic variety that I call Frobenius or F-amplitude. When combined with the technique of Deligne-Illusie it leads to vanishing theorems that generalize classical results of Kodaira, Nakano, Le Potier....

Tuesday, March 25, 2008

Algebraic Geometry Seminar
3:00 pm   in 243 Altgeld Hall,  Tuesday, March 25, 2008
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Submitted by nevins.
James Borger (Australian National University and University of Chicago)
Witt vectors, Lambda-rings, and absolute algebraic geometry
Abstract: I'll give a brief introduction to Witt vectors and Lambda-rings, and I'll explain how they're two different ways of looking at the same concept. I'll discuss the resulting "Lambda-equivariant" algebraic geometry, how it relates to usual algebraic geometry, and how it is fundamentally arithmetic.

Graduate Student Topology & Geometry Seminar
4:00 pm   in 143 Altgeld Hall,  Tuesday, March 25, 2008
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Submitted by dlipsky.
Artan Sheshmani (UIUC Math)
Homological mirror symmetry for weighted projective planes and Fano surfaces
Abstract: Physicists (Strominger, Vafa, Dixon, Lerche, Warner, Greene, Witten etc.) were the first who observed mirror symmetry for the Calabi Yau manifolds. Homological mirror symmetry is a conjecture constructed by Kontsevich which, using algebraic geometry and the language of derived categories, gives a mathematical explanation of mirror symmetry in phyisics. In this talk I will give an explanation of what homological mirror symmetry means in the Calabi yau case and then, after a brief introduction to Fukaya categories, I will explain how one can extend the conjecture for Fano surfaces. Finally, I will do an example for weighted projective planes using the results obtained by Aurox, Orlov, Katzarkov.

Tuesday, April 1, 2008

Algebraic Geometry Seminar
3:00 pm   in 243 Altgeld Hall,  Tuesday, April 1, 2008
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Submitted by nevins.
Arend Bayer (University of Utah)
Polynomial Bridgeland stability conditions and wall-crossing
Abstract: We introduce polynomial stability conditions, a more flexible notion than Bridgeland's stability conditions for derived categories. In particular we can prove the existence of a family of polynomial stability conditions for any normal projective variety. We will discuss some wall-crossing phenomena for counting invariants of stable objects in families of polynomial stability conditions.

Tuesday, April 15, 2008

Algebraic Geometry
3:00 pm   in 243 Altgeld Hall,  Tuesday, April 15, 2008
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Submitted by whaboush.
Mihnea Popa (UIC Dept of Math)
Numerical Inequalities via Syzigies and Generic Vanishing
Abstract: ABSTRACT: I will explain how a refinement of the Green-Lazarsfeld Generic Vanishing Theorem, general Fourier-Mukai transform theory, and the Syzygy Theorem of Evans-Griffith, can be used to prove a higher dimensional analogue of the classical Castelnuovo-de Franchis inequality for surfaces. I will then use this inequality to provide some bounds on the irregularity of special classes of projective varieties. Joint work with Giuseppe Pareschi.

Tuesday, April 22, 2008

Algebraic Geometry
3:00 pm   in 243Altgeld Hall,  Tuesday, April 22, 2008
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Submitted by whaboush.
Iwan DuursmaCorrelated Algebraic Geometric Codes
Abstract: One of the main challenges in algorithmic coding theory can be formulated as follows: Given a set of points (xi,yi) over a finite field, with distinct x-coordinates, compute in polynomial time a list of all polynomials of degree k-1 with the property that the the set of points (xi,f(xi)) agrees with the given set in more than the expected k points. We discuss a sequence of recent breakthrough results by Parvaresh-Vardy (2005), Guruswami-Rudra (2006), and Guruswami-Patthak (2008).