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Frühjahrssemester 2025

Datum / Zeit Referent:in Titel Ort
22. Januar 2025
13:30-15:00 		Prof. Dr. Pierrick Bousseau
Univ. of Georgia
Details

Algebraic Geometry and Moduli Seminar

Titel Non-toric brane webs, Calabi-Yau 3-folds, and 5d SCFTs
Referent:in, Affiliation Prof. Dr. Pierrick Bousseau, Univ. of Georgia
Datum, Zeit 22. Januar 2025, 13:30-15:00
Ort HG G G43
Abstract One of the most remarkable predictions of string/M-theory is the existence of 5-dimensional superconformal field theories (5d SCFTs). There are two main approaches for constructing these 5d SCFTs, using either M-theory on canonical 3-fold singularities, or intersecting branes in Type IIB string theory. A natural question is to compare these two approaches. The answer is well-known for webs of 5-branes in Type IIB string theory, where the M-theory dual canonical 3-fold singularity is a toric Calabi–Yau 3-fold.  In this talk,  building on recent advances in mirror symmetry and enumerative geometry, I will provide an answer for the more general case of webs of 5-branes with 7-branes and explain how to construct the M-theory dual non-toric Calabi-Yau 3-fold. This is joint work with Valery Alexeev and Hulya Arguz.
Non-toric brane webs, Calabi-Yau 3-folds, and 5d SCFTsread_more
HG G G43
* 3. Februar 2025
17:30-19:00 		Prof. Dr. Davesh Maulik
MIT
Details

Algebraic Geometry and Moduli Seminar

Titel D-equivalence conjecture for varieties of K3^[n]-type
Referent:in, Affiliation Prof. Dr. Davesh Maulik, MIT
Datum, Zeit 3. Februar 2025, 17:30-19:00
Ort Zoom
Abstract The D-equivalence conjecture of Bondal and Orlov predicts that birational Calabi-Yau varieties have equivalent derived categories of coherent sheaves.  I will explain how to prove this conjecture for hyperkahler varieties of K3^[n] type (i.e. those that are deformation equivalent to Hilbert schemes of K3 surfaces).  This is joint work with Junliang Shen, Qizheng Yin, and Ruxuan Zhang.
D-equivalence conjecture for varieties of K3^[n]-typeread_more
Zoom
* 5. Februar 2025
13:15-14:45 		Prof. Dr. Yongbin Ruan
Zhejiang Univeristy and ETH-ITS
Details

Algebraic Geometry and Moduli Seminar

Titel Current work and open questions
Referent:in, Affiliation Prof. Dr. Yongbin Ruan, Zhejiang Univeristy and ETH-ITS
Datum, Zeit 5. Februar 2025, 13:15-14:45
Ort SEW
Current work and open questions
SEW
7. Februar 2025
16:00-17:30 		Dr. Kento Osuga
Univ. of Tokyo
Details

Algebraic Geometry and Moduli Seminar

Titel Volumes of moduli spaces of bordered Klein surfaces
Referent:in, Affiliation Dr. Kento Osuga, Univ. of Tokyo
Datum, Zeit 7. Februar 2025, 16:00-17:30
Ort HG G G43
Abstract Weil–Petersson volumes are fascinating objects. They are defined as volumes of moduli spaces of oriented hyperbolic surfaces, and they satisfy the so-called Mirzakhani's recursion. The goal of this talk is to discuss a non-orientable analogue of Weil–Petersson volumes as well as their recursive structure. I will show how volumes are defined, compute the volume of hyperbolic Klein bottles, and most importantly, explore a possible relation to other objects in mathematics such as the Virasoro algebra and topological recursion. This talk is based on a joint work with Elba Garcia-Failde and Paolo Gregori.
Volumes of moduli spaces of bordered Klein surfacesread_more
HG G G43
19. Februar 2025
13:30-15:00 		Aitor Iribar López
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Titel Complex abelian varieties and their moduli IX
Referent:in, Affiliation Aitor Iribar López, ETH Zürich
Datum, Zeit 19. Februar 2025, 13:30-15:00
Ort HG G 43
Abstract Intersection theory on A_g and on Mumford's partial compactification
Complex abelian varieties and their moduli IXread_more
HG G 43
26. Februar 2025
13:30-15:00 		Dr. Johannes Schmitt
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Titel Complex abelian varieties and their moduli X
Referent:in, Affiliation Dr. Johannes Schmitt, ETH Zürich
Datum, Zeit 26. Februar 2025, 13:30-15:00
Ort HG G 43
Abstract Piecewise polynomials and Chow rings
Complex abelian varieties and their moduli Xread_more
HG G 43
28. Februar 2025
16:00-17:30 		Dr. Qaasim Shafi
Universität Heidelberg
Details

Algebraic Geometry and Moduli Seminar

Titel Descendant tropical correspondence theorems and applications
Referent:in, Affiliation Dr. Qaasim Shafi, Universität Heidelberg
Datum, Zeit 28. Februar 2025, 16:00-17:30
Ort HG G 43
Abstract I will present a result connecting higher genus descendant logarithmic Gromov-Witten invariants of toric surfaces to refined counts of tropical curves. I will then discuss some applications. First, how it can be used to relate higher genus descendant invariants of log Calabi-Yau surfaces with quantum scattering diagrams, generalising an expectation coming from mirror symmetry. I will then briefly mention how these tropical correspondence theorems may help with computing the quantum cohomology ring of the Hilbert scheme of points on an elliptic surface. This is based on joint work Patrick Kennedy-Hunt and Ajith Urundolil Kumaran, as well as conversations with Georg Oberdieck.
Descendant tropical correspondence theorems and applicationsread_more
HG G 43
5. März 2025
13:30-15:00 		Prof. Dr. Rahul Pandharipande
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Titel The homomorphism question for A_g
Referent:in, Affiliation Prof. Dr. Rahul Pandharipande, ETH Zürich
Datum, Zeit 5. März 2025, 13:30-15:00
Ort HG G 43
Abstract I will discuss some ideas, results, and conjectures related to the following question: is projection for cycle on the moduli space of abelian varieties a homomorphism.
The homomorphism question for A_gread_more
HG G 43
7. März 2025
16:00-17:30 		Dr. Michele Graffeo
SISSA
Details

Algebraic Geometry and Moduli Seminar

Titel The motive of the Hilbert scheme of points
Referent:in, Affiliation Dr. Michele Graffeo, SISSA
Datum, Zeit 7. März 2025, 16:00-17:30
Ort HG G 43
Abstract The Hilbert scheme of points on a quasi-projective variety is a classical object in algebraic geometry. However, its geometry is nowadays still not completely accessible. On the other hand, the motive of a variety X is an invariant attached to X carrying a lot of information about its geometry, and it is considered as a universal Euler characteristic. In a joint project with Monavari, Moschetti and Ricolfi we give general formulas to compute the motive of the Hilbert scheme of points, provided the knowledge of a finite amount of data (that we gave explicitly in some cases). In my seminar I will present our formulas and I will show many applications.
The motive of the Hilbert scheme of pointsread_more
HG G 43
* 10. März 2025
15:00-16:30 		Prof. Dr. Aaron Pixton
University of Michigan
Details

Algebraic Geometry and Moduli Seminar

Titel The lambda_g formula
Referent:in, Affiliation Prof. Dr. Aaron Pixton, University of Michigan
Datum, Zeit 10. März 2025, 15:00-16:30
Ort HG G 19.2
Zoom
The lambda_g formula
HG G 19.2
Zoom
12. März 2025
13:30-15:00 		Prof. Dr. Gavril Farkas
Humboldt Universität zu Berlin
Details

Algebraic Geometry and Moduli Seminar

Titel Hurwitz-Brill-Noether theory via stability conditions
Referent:in, Affiliation Prof. Dr. Gavril Farkas, Humboldt Universität zu Berlin
Datum, Zeit 12. März 2025, 13:30-15:00
Ort HG G 43
Abstract In analogy with the classical situation of a general algebraic curve, Hurwitz-Brill-Noether addresses the question which linear systems appear on a general k-gonal curve of genus g. In recent years, due to impressive work of Pflueger, H. Larson, Jensen, Ranganathan and others an answer to this question has been put forward, using a mix of tropical and degeneration methods. I will discuss a radically new approach to this problem using Bridgeland stability conditions and present new applications, for instance concerning  the construction of Hurwitz-Brill-Noether generic curves defined over number fields. Joint with S. Feyzbakhsh and A. Rojas.
Hurwitz-Brill-Noether theory via stability conditionsread_more
HG G 43
14. März 2025
16:00-17:30 		Zhiyu Liu
Zhejiang Univeristy and ETH-ITS
Details

Algebraic Geometry and Moduli Seminar

Titel Castelnuovo bound conjecture and curve-counting invariants
Referent:in, Affiliation Zhiyu Liu, Zhejiang Univeristy and ETH-ITS
Datum, Zeit 14. März 2025, 16:00-17:30
Ort HG G 43
Abstract The Castelnuovo bound conjecture, which is proposed by physicists, predicts an effective vanishing result for Gopakumar-Vafa invariants of Calabi-Yau 3-folds of Picard number one. In this talk, I will introduce recent advances toward solving this conjecture and discuss relevant results about the bounds of genus of curves in projective threefolds.
Castelnuovo bound conjecture and curve-counting invariantsread_more
HG G 43
19. März 2025
13:30-15:00 		Prof. Dr. Hsian-Hua Tseng
Ohio State University
Details

Algebraic Geometry and Moduli Seminar

Titel Gromov-Witten theory of Hilbert schemes of points on the affine plane I
Referent:in, Affiliation Prof. Dr. Hsian-Hua Tseng, Ohio State University
Datum, Zeit 19. März 2025, 13:30-15:00
Ort HG G 43
Abstract The goal of these two talks is to discuss results on equivariant Gromov-Witten invariants of Hilbert schemes of points on C^2. In the first talk, we present a summary of results in genus 0 due to Okounkov-Pandharipande. We also discuss some aspects of determining higher genus theory using Givental-Teleman reconstruction. In the second talk, we discuss recent progress on a detailed study of genus 1 theory.
Gromov-Witten theory of Hilbert schemes of points on the affine plane Iread_more
HG G 43
21. März 2025
16:00-17:30 		Prof. Dr. Hsian-Hua Tseng
Ohio State University
Details

Algebraic Geometry and Moduli Seminar

Titel Gromov-Witten theory of Hilbert schemes of points on the affine plane II
Referent:in, Affiliation Prof. Dr. Hsian-Hua Tseng, Ohio State University
Datum, Zeit 21. März 2025, 16:00-17:30
Ort HG G 43
Abstract The goal of these two talks is to discuss results on equivariant Gromov-Witten invariants of Hilbert schemes of points on C^2. In the first talk, we present a summary of results in genus 0 due to Okounkov-Pandharipande. We also discuss some aspects of determining higher genus theory using Givental-Teleman reconstruction. In the second talk, we discuss recent progress on a detailed study of genus 1 theory.
Gromov-Witten theory of Hilbert schemes of points on the affine plane IIread_more
HG G 43
26. März 2025
13:30-15:00 		Dr. Jeremy Feusi
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Titel Tautological projection and the homomorphism property revisited
Referent:in, Affiliation Dr. Jeremy Feusi, ETH Zürich
Datum, Zeit 26. März 2025, 13:30-15:00
Ort HG G 43
Tautological projection and the homomorphism property revisited
HG G 43
28. März 2025
16:00-17:30 		Prof. Dr. Rahul Pandharipande
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Titel Geometry of the universal Jacobian
Referent:in, Affiliation Prof. Dr. Rahul Pandharipande, ETH Zürich
Datum, Zeit 28. März 2025, 16:00-17:30
Ort HG G 43
Geometry of the universal Jacobian
HG G 43
2. April 2025
13:30-15:00 		Prof. Dr. Danilo Lewanksi
University of Trieste
Details

Algebraic Geometry and Moduli Seminar

Titel On the DR/DZ equivalence
Referent:in, Affiliation Prof. Dr. Danilo Lewanksi, University of Trieste
Datum, Zeit 2. April 2025, 13:30-15:00
Ort HG G 43
Abstract There are two main recipes to associate to a Cohomological Field Theory (CohFT) an integrable hierarchy of hamiltonian PDEs: the first one was introduced by Dubrovin and Zhang (DZ, 2001), the second by Buryak (DR, 2015). It is interesting to notice that the latter relies on the geometric properties of the Double Ramification cycle — hence the name DR — to work. As soon as the second recipe was introduced, it was conjectured that the two had to be equivalent in some sense, and it was checked in a few examples. In the forthcoming years several papers followed, checking more examples of CohFTs, making the conjecture more precise, proving the conjecture in low genera, and eventually turning the statement of the conjecture in a purely intersection theoretic statement on the moduli spaces of stable curves. Lately, the conjecture was proved in its intersection theoretic form, employing virtual localisation techniques. (j.w.w. Blot, Rossi, Shadrin).
On the DR/DZ equivalence read_more
HG G 43
11. April 2025
16:00-17:30 		Terry Song
Cambridge University
Details

Algebraic Geometry and Moduli Seminar

Titel Topology of genus one mapping spaces
Referent:in, Affiliation Terry Song, Cambridge University
Datum, Zeit 11. April 2025, 16:00-17:30
Ort HG G 43
Abstract I will present a formula of the S_n-equivariant Euler characteristics of genus one stable maps to the projective space. It enriches the ordinary Euler characteristics, which are previously unkown, and continues the results of Getzler - Pandharipande on genus zero stable maps. The approach connects torus localization, composition structure on the Grothendieck ring of varieties, and graph enumeration techniques via wreath symmetric functions. Joint work with Siddarth Kannan.
Topology of genus one mapping spacesread_more
HG G 43
30. April 2025
13:30-15:00 		Prof. Dr. Michel van Garrel
University of Birmingham
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Prof. Dr. Michel van Garrel, University of Birmingham
Datum, Zeit 30. April 2025, 13:30-15:00
Ort HG G 43
Title T.B.A.
HG G 43
2. Mai 2025
16:00-17:30 		Dr. Younghan Bae
University of Michigan
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Dr. Younghan Bae, University of Michigan
Datum, Zeit 2. Mai 2025, 16:00-17:30
Ort HG G 43
Title T.B.A.
HG G 43
16. Mai 2025
16:00-17:30 		Dr. Henry Liu
Kavli IPMU (Tokyo)
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Dr. Henry Liu, Kavli IPMU (Tokyo)
Datum, Zeit 16. Mai 2025, 16:00-17:30
Ort HG G 43
Title T.B.A.
HG G 43
28. Mai 2025
13:30-15:00 		Lycka Drakengren
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Lycka Drakengren, ETH Zürich
Datum, Zeit 28. Mai 2025, 13:30-15:00
Ort HG G 43
Title T.B.A.
HG G 43
30. Mai 2025
16:00-17:30 		Prof. Dr. Sam Molcho
Sapienza Università di Roma
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Prof. Dr. Sam Molcho, Sapienza Università di Roma
Datum, Zeit 30. Mai 2025, 16:00-17:30
Ort HG G 43
Title T.B.A.
HG G 43
* 21. Juni 2025
13:00-14:00 		Dr. Miguel Moreira
MIT
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Dr. Miguel Moreira, MIT
Datum, Zeit 21. Juni 2025, 13:00-14:00
Ort HG G 43
Title T.B.A.
HG G 43
* 21. Juni 2025
14:15-15:15 		Prof. Dr. Junliang Shen
Yale
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Prof. Dr. Junliang Shen, Yale
Datum, Zeit 21. Juni 2025, 14:15-15:15
Ort HG G 43
Title T.B.A.
HG G 43
* 21. Juni 2025
15:45-16:45 		Prof. Dr. Qizheng Yin
Peking University
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Prof. Dr. Qizheng Yin, Peking University
Datum, Zeit 21. Juni 2025, 15:45-16:45
Ort HG G 43
Title T.B.A.
HG G 43
* 21. Juni 2025
17:00-18:00 		Prof. Dr. Dhruv Ranganathan
Cambridge University
Details

Algebraic Geometry and Moduli Seminar

Titel Title T.B.A.
Referent:in, Affiliation Prof. Dr. Dhruv Ranganathan, Cambridge University
Datum, Zeit 21. Juni 2025, 17:00-18:00
Ort HG G 43
Title T.B.A.
HG G 43

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