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Spring Semester 2025

Date / Time Speaker Title Location
22 January 2025
13:30-15:00 		Prof. Dr. Pierrick Bousseau
Univ. of Georgia
Details

Algebraic Geometry and Moduli Seminar

Title Non-toric brane webs, Calabi-Yau 3-folds, and 5d SCFTs
Speaker, Affiliation Prof. Dr. Pierrick Bousseau, Univ. of Georgia
Date, Time 22 January 2025, 13:30-15:00
Location 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 February 2025
17:30-19:00 		Prof. Dr. Davesh Maulik
MIT
Details

Algebraic Geometry and Moduli Seminar

Title D-equivalence conjecture for varieties of K3^[n]-type
Speaker, Affiliation Prof. Dr. Davesh Maulik, MIT
Date, Time 3 February 2025, 17:30-19:00
Location 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 February 2025
13:15-14:45 		Prof. Dr. Yongbin Ruan
Zhejiang Univeristy and ETH-ITS
Details

Algebraic Geometry and Moduli Seminar

Title Current work and open questions
Speaker, Affiliation Prof. Dr. Yongbin Ruan, Zhejiang Univeristy and ETH-ITS
Date, Time 5 February 2025, 13:15-14:45
Location SEW
Current work and open questions
SEW
7 February 2025
16:00-17:30 		Dr. Kento Osuga
Univ. of Tokyo
Details

Algebraic Geometry and Moduli Seminar

Title Volumes of moduli spaces of bordered Klein surfaces
Speaker, Affiliation Dr. Kento Osuga, Univ. of Tokyo
Date, Time 7 February 2025, 16:00-17:30
Location 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 February 2025
13:30-15:00 		Aitor Iribar López
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Title Complex abelian varieties and their moduli IX
Speaker, Affiliation Aitor Iribar López, ETH Zürich
Date, Time 19 February 2025, 13:30-15:00
Location 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 February 2025
13:30-15:00 		Dr. Johannes Schmitt
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Title Complex abelian varieties and their moduli X
Speaker, Affiliation Dr. Johannes Schmitt, ETH Zürich
Date, Time 26 February 2025, 13:30-15:00
Location HG G 43
Abstract Piecewise polynomials and Chow rings
Complex abelian varieties and their moduli Xread_more
HG G 43
28 February 2025
16:00-17:30 		Dr. Qaasim Shafi
Universität Heidelberg
Details

Algebraic Geometry and Moduli Seminar

Title Descendant tropical correspondence theorems and applications
Speaker, Affiliation Dr. Qaasim Shafi, Universität Heidelberg
Date, Time 28 February 2025, 16:00-17:30
Location 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 March 2025
13:30-15:00 		Prof. Dr. Rahul Pandharipande
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Title The homomorphism question for A_g
Speaker, Affiliation Prof. Dr. Rahul Pandharipande, ETH Zürich
Date, Time 5 March 2025, 13:30-15:00
Location 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 March 2025
16:00-17:30 		Dr. Michele Graffeo
SISSA
Details

Algebraic Geometry and Moduli Seminar

Title The motive of the Hilbert scheme of points
Speaker, Affiliation Dr. Michele Graffeo, SISSA
Date, Time 7 March 2025, 16:00-17:30
Location 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 March 2025
15:00-16:30 		Prof. Dr. Aaron Pixton
University of Michigan
Details

Algebraic Geometry and Moduli Seminar

Title The lambda_g formula
Speaker, Affiliation Prof. Dr. Aaron Pixton, University of Michigan
Date, Time 10 March 2025, 15:00-16:30
Location HG G 19.2
Zoom
The lambda_g formula
HG G 19.2
Zoom
12 March 2025
13:30-15:00 		Prof. Dr. Gavril Farkas
Humboldt Universität zu Berlin
Details

Algebraic Geometry and Moduli Seminar

Title Hurwitz-Brill-Noether theory via stability conditions
Speaker, Affiliation Prof. Dr. Gavril Farkas, Humboldt Universität zu Berlin
Date, Time 12 March 2025, 13:30-15:00
Location 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 March 2025
16:00-17:30 		Zhiyu Liu
Zhejiang Univeristy and ETH-ITS
Details

Algebraic Geometry and Moduli Seminar

Title Castelnuovo bound conjecture and curve-counting invariants
Speaker, Affiliation Zhiyu Liu, Zhejiang Univeristy and ETH-ITS
Date, Time 14 March 2025, 16:00-17:30
Location 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 March 2025
13:30-15:00 		Prof. Dr. Hsian-Hua Tseng
Ohio State University
Details

Algebraic Geometry and Moduli Seminar

Title Gromov-Witten theory of Hilbert schemes of points on the affine plane I
Speaker, Affiliation Prof. Dr. Hsian-Hua Tseng, Ohio State University
Date, Time 19 March 2025, 13:30-15:00
Location 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 March 2025
16:00-17:30 		Prof. Dr. Hsian-Hua Tseng
Ohio State University
Details

Algebraic Geometry and Moduli Seminar

Title Gromov-Witten theory of Hilbert schemes of points on the affine plane II
Speaker, Affiliation Prof. Dr. Hsian-Hua Tseng, Ohio State University
Date, Time 21 March 2025, 16:00-17:30
Location 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 March 2025
13:30-15:00 		Dr. Jeremy Feusi
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Title Tautological projection and the homomorphism property revisited
Speaker, Affiliation Dr. Jeremy Feusi, ETH Zürich
Date, Time 26 March 2025, 13:30-15:00
Location HG G 43
Tautological projection and the homomorphism property revisited
HG G 43
28 March 2025
16:00-17:30 		Prof. Dr. Rahul Pandharipande
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Title Geometry of the universal Jacobian
Speaker, Affiliation Prof. Dr. Rahul Pandharipande, ETH Zürich
Date, Time 28 March 2025, 16:00-17:30
Location 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

Title On the DR/DZ equivalence
Speaker, Affiliation Prof. Dr. Danilo Lewanksi, University of Trieste
Date, Time 2 April 2025, 13:30-15:00
Location 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

Title Topology of genus one mapping spaces
Speaker, Affiliation Terry Song, Cambridge University
Date, Time 11 April 2025, 16:00-17:30
Location 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

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Michel van Garrel, University of Birmingham
Date, Time 30 April 2025, 13:30-15:00
Location HG G 43
Title T.B.A.
HG G 43
2 May 2025
16:00-17:30 		Dr. Younghan Bae
University of Michigan
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Younghan Bae, University of Michigan
Date, Time 2 May 2025, 16:00-17:30
Location HG G 43
Title T.B.A.
HG G 43
16 May 2025
16:00-17:30 		Dr. Henry Liu
Kavli IPMU (Tokyo)
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Henry Liu, Kavli IPMU (Tokyo)
Date, Time 16 May 2025, 16:00-17:30
Location HG G 43
Title T.B.A.
HG G 43
28 May 2025
13:30-15:00 		Lycka Drakengren
ETH Zürich
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Lycka Drakengren, ETH Zürich
Date, Time 28 May 2025, 13:30-15:00
Location HG G 43
Title T.B.A.
HG G 43
30 May 2025
16:00-17:30 		Prof. Dr. Sam Molcho
Sapienza Università di Roma
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Sam Molcho, Sapienza Università di Roma
Date, Time 30 May 2025, 16:00-17:30
Location HG G 43
Title T.B.A.
HG G 43
* 21 June 2025
13:00-14:00 		Dr. Miguel Moreira
MIT
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Miguel Moreira, MIT
Date, Time 21 June 2025, 13:00-14:00
Location HG G 43
Title T.B.A.
HG G 43
* 21 June 2025
14:15-15:15 		Prof. Dr. Junliang Shen
Yale
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Junliang Shen, Yale
Date, Time 21 June 2025, 14:15-15:15
Location HG G 43
Title T.B.A.
HG G 43
* 21 June 2025
15:45-16:45 		Prof. Dr. Qizheng Yin
Peking University
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Qizheng Yin, Peking University
Date, Time 21 June 2025, 15:45-16:45
Location HG G 43
Title T.B.A.
HG G 43
* 21 June 2025
17:00-18:00 		Prof. Dr. Dhruv Ranganathan
Cambridge University
Details

Algebraic Geometry and Moduli Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Dhruv Ranganathan, Cambridge University
Date, Time 21 June 2025, 17:00-18:00
Location HG G 43
Title T.B.A.
HG G 43

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