Published on Department of Mathematics Calendar (https://calendar.math.yale.edu)

Week of March 1, 2026

March 2, 2026
Geometric Analysis Learning Seminar [3]	Regularity of Einstein 5-manifolds via 4-dimensional gap theorems	Yiqi Huang - MIT	3:45pm - KT 906
Geometry, Symmetry and Physics [4]	The constant sheaf on Bun_G	Kenta Suzuki - Princeton University	4:30pm - KT 801

March 3, 2026
Geometric Analysis Learning Seminar [3]	Geometric Analysis Learning Seminar		10:30am - KT 801

March 5, 2026
Analysis [5]	Soliton Resolution Conjecture for the energy-critical heat equation	Shrey Aryan - MIT	4:00pm - KT 201
Quantum Topology and Field Theory [6]	Quantum algebras from generalized Poisson sigma models	Keyou Zeng - CMSA Harvard	4:30pm - KT 801

March 6, 2026
Learning seminar on Groups, Geometry and Dynamics [7]	Lattices, fundamental domains and Ratner's orbit closure theorem.	Jannik Westermann -	4:00pm - KT 801 or KT217

March 9, 2026 to March 20, 2026
	Spring break		7:15am to 4:15pm -

March 23, 2026
Geometric Analysis and Application [8]	Singularities of Curve Shortening Flow with Convex Projections	Qi Sun - University of Wisconsin-Madison	3:45pm - KT 906
Geometry, Symmetry and Physics [4]	A high-dimensional Gross–Zagier type formula over function fields	Zeyu Wang - MIT	4:30pm - KT 801

March 24, 2026
Geometric Analysis Learning Seminar [3]	Geometric Analysis Learning Seminar		10:30am - KT 801
Piatetski-Shapiro Memorial Lecture [9]	Volume of the moduli of Shtukas	Zhiwei Yun - MIT	4:15pm - KT 101

March 25, 2026
Colloquium [10]	Quantum Chern–Simons invariants old and new	Dan Freed - Harvard	4:00pm - KT 205

March 26, 2026
Analysis [5]	Asymptotic stability for the degree-one vortex of the 2D abelian Yang-Mills-Higgs model under equivariant perturbations	Jonas Lührmann - University of Cologne	4:00pm - KT 201

March 27, 2026
Learning seminar on Matroids and Algebraic Cycles [11]	Learning seminar on Matroids and Algebraic Cycles		2:15pm - KT 801
Learning seminar on Groups, Geometry and Dynamics [7]	Growth on groups.	Gal Yehuda -	4:00pm - KT 801 or KT217

March 30, 2026
Geometric Analysis and Application [8]	Existence of genus 2 minimal surfaces in 3-spheres	Zhihan Wang - Cornell University	3:45pm - KT 906
Geometry & Topology [12]	Knot complements decomposing into prisms	Neil Hoffman - University of Minnesota, Duluth	4:00pm - KT 203
Geometry, Symmetry and Physics [4]	Coulomb branches of 4d N=2 gauge theories and the double affine Grassmannian.	Alexander Braverman - University of Toronto	4:30pm - KT 801

March 31, 2026
Geometric Analysis Learning Seminar [3]	Geometric Analysis Learning Seminar		10:30am - KT 801

Abstracts

Week of March 1, 2026

March 2, 2026
Geometric Analysis Learning Seminar [3]	Regularity of Einstein 5-manifolds via 4-dimensional gap theorems	3:45pm - KT 906	We refine the regularity of noncollapsed limits of Einstein 5-manifolds. In particular, we prove uniqueness of tangent cones along the full top stratum of singular set and show that the entire singular set is contained in a countable union of bi-Lipschitz curves and points. Moreover, we establish that thesingular curve carries a real-analytic Einstein orbifold structure and is a geodesic in the limit space. The proofs rely on new 4-dimensional gap theorems for spherical and hyperbolic Einstein orbifolds. This is joint work with Tristan Ozuch.
Geometry, Symmetry and Physics [4]	The constant sheaf on Bun_G	4:30pm - KT 801	Given a smooth projective curve X and a reductive group G, the geometric Langlands equivalence proved by Gaitsgory, Raskin et al. (roughly) gives an equivalence between sheaves on the stack Bun_G(X) of G-bundles on X (automorphic side) and quasi-coherent sheaves on the stack of G^-local systems on X (spectral side). To compute the image of an object under the geometric Langlands equivalence, one usually bootstraps from the Whittaker model. This method fails for the constant sheaf on Bun_G(X), which is “maximally singular.” Still, we will compute its image under the equivalence, confirming a conjecture of V. Lafforgue. As a consequence, when X is over F_q we find a spectral description for the constant function on Bun_G(X)(F_q

March 3, 2026
Geometric Analysis Learning Seminar [3]	Geometric Analysis Learning Seminar	10:30am - KT 801	TBA

March 5, 2026
Analysis [5]	Soliton Resolution Conjecture for the energy-critical heat equation	4:00pm - KT 201	The Soliton Resolution Conjecture predicts that finite-energy solutions to nonlinear dispersive PDEs asymptotically decouple into a sum of stationary solutions, called solitons, and free radiation, with an error that goes to zero in the energy norm. In this talk, we discuss the conjecture for the energy-critical nonlinear heat equation in dimension $d\geq 3$ and present its proof in the radial case. If time permits, we will also discuss recent progress in the non-radial setting, with potential applications to other geometric flows such as the Yang-Mills heat flow.
Quantum Topology and Field Theory [6]	Quantum algebras from generalized Poisson sigma models	4:30pm - KT 801	Poisson sigma models sit at the intersection of deformation theory, geometry, and quantum field theory; specifically, the perturbative expansion of the two-dimensional Poisson sigma model with boundary is known to recover Kontsevich’s deformation quantization formula. In this talk, we introduce a higher-dimensional holomorphic–topological generalization of Poisson sigma models and explain their connections to the deformation quantization (or obstruction) of holomorphic–topological factorization algebras. This construction can be viewed as a field-theoretic incarnation of the higher Deligne conjecture. We also explain how these models relate to the construction of Hopf-type algebras via Koszul duality, and explore examples related to the quantization of Lie bialgebras, W-algebras, and Yangians.

March 6, 2026
Learning seminar on Groups, Geometry and Dynamics [7]	Lattices, fundamental domains and Ratner's orbit closure theorem.	4:00pm - KT 801 or KT217

March 9, 2026 to March 20, 2026
	Spring break	7:15am to 4:15pm -

March 23, 2026
Geometric Analysis and Application [8]	Singularities of Curve Shortening Flow with Convex Projections	3:45pm - KT 906	Understanding singularity formation is an important topic in the study of geometric flows. Since Gage-Hamilton-Grayson’s foundational results, it has largely been unknown how singularities of curve shortening flow form in higher codimensions. In this talk, I will present my recent results that in n dim Euclidean space, any curve with a one-to-one convex projection onto some 2-plane develops a Type I singularity and becomes asymptotically circular under curve shortening flow. As a corollary, an analog of Huisken’s conjecture for curve shortening flow is confirmed, in the sense that any closed immersed curve in n dim Euclidean space can be perturbed in n+2 dim Euclidean space to a closed immersed curve which shrinks to a round point under curve shortening flow.
Geometry, Symmetry and Physics [4]	A high-dimensional Gross–Zagier type formula over function fields	4:30pm - KT 801	The Gross–Zagier formula relates the first derivative of the L-function for PGL(2) to (arithmetic) intersection numbers on the modular curve. It plays a central role in proving known cases of the Birch–Swinnerton-Dyer conjecture. In their celebrated work, Yun and Zhang established a function-field analogue of this formula, replacing the modular curve by moduli spaces of PGL(2)-Shtukas. New phenomena arise in this setting: higher derivatives of L-functions can also be expressed in terms of intersection numbers. However, due to the lack of properness of moduli spaces of Shtukas in higher-dimensional cases, extending this formula to higher dimensions has remained open for many years. In this talk, I will present a higher-dimensional version of the Yun–Zhang formula. The proof uses tools from Geometric Langlands theory and aspects of the relative Langlands duality proposed by Ben-Zvi, Sakellaridis, and Venkatesh. This is joint work with Shurui Liu.

March 24, 2026
Geometric Analysis Learning Seminar [3]	Geometric Analysis Learning Seminar	10:30am - KT 801	TBA
Piatetski-Shapiro Memorial Lecture [9]	Volume of the moduli of Shtukas	4:15pm - KT 101	The volume of a locally symmetric space is essentially a product of special values of zeta functions. Its connection with automorphic forms featured in early work of Piatetski-Shapiro. There is a natural function field analog of the volume given by counting principal bundles on an algebraic curve over a finite field. Continuing in the function field setting, but going further in the arithmetic direction, we consider the volume of the moduli space of Shtukas (function field analog of Shimura varieties). I will explain how to make sense of the apparently divergent volume, and express the result in terms of higher derivatives of a curious variant of zeta functions. This is joint work with Tony Feng and Wei Zhang.

March 25, 2026
Colloquium [10]	Quantum Chern–Simons invariants old and new	4:00pm - KT 205	In the 1980s new invariants of links and 3-manifolds were put forward by Jones, Reshetikhin–Turaev, and others. Witten’s approach was based on quantum field theory, and it spurred decades of developments in the mathematics of topological field theory. Building on that foundation, Claudia Scheimbauer, Constantin Teleman, and I recently used the cobordism hypothesis to construct the relevant 3-dimensional topological field theories (arXiv:2601.05518). I will review these developments and discuss the new work.

March 26, 2026
Analysis [5]	Asymptotic stability for the degree-one vortex of the 2D abelian Yang-Mills-Higgs model under equivariant perturbations	4:00pm - KT 201	The (1+2)-dimensional abelian Yang-Mills-Higgs model is a classical relativistic field theory that features topological soliton solutions called vortices. We discuss a proof of the asymptotic stability for the degree-one vortex under equivariant perturbations in the so-called self-dual case. This is joint work in preparation with J. Palacios, F. Pusateri, W. Schlag, and S. Shahshahani

March 27, 2026
Learning seminar on Matroids and Algebraic Cycles [11]	Learning seminar on Matroids and Algebraic Cycles	2:15pm - KT 801	TBA
Learning seminar on Groups, Geometry and Dynamics [7]	Growth on groups.	4:00pm - KT 801 or KT217	TBA

March 30, 2026
Geometric Analysis and Application [8]	Existence of genus 2 minimal surfaces in 3-spheres	3:45pm - KT 906	In the past decades, we have witnessed rapid development in the construction of minimal surfaces with controlled topology by Simon-Smith min-max theory. In this talk, I’ll discuss the existence of a number of genus 2 minimal surfaces in a 3-sphere with a positive-Ricci-curved metric. This is based on the recent work joint with Adrian Chu and Yangyang Li.
Geometry & Topology [12]	Knot complements decomposing into prisms	4:00pm - KT 203	The Menasco-Reid conjecture supposes a negative answer to the question: Is there a hyperbolic knot complement which contains a closed embedded totally geodesic surface? Another Kirby problem asks which hyperbolic knot complements admit hidden symmetries? Here a manifold $M$ admits hidden symmetries, if $M$ covers an orbifold $Q$ and $Q$ is not the quotient of $M$ by symmetries. Historically, there were three knot complements known to have hidden symmetries, and a conjecture Neumann and Reid states these are the only such examples. After giving some of the relevant background, we will construct examples of knot complements that are counterexamples to both conjectures. Each of these knot complements has the property that it admits a decomposition into geometric prisms. This is joint work with Jason DeBlois and Arshia Gharazolou and has appeared on the arxiv: arXiv:2507.01263.
Geometry, Symmetry and Physics [4]	Coulomb branches of 4d N=2 gauge theories and the double affine Grassmannian.	4:30pm - KT 801	Coulomb branches of 3d N=4 gauge theories for a gauge group G have been rigorously defined by Braverman, Finkelberg and Nakajima. These are affine (singular) symplectic algebraic varieties; their algebras of functions can be defined via the equivariant Borel-Moore homology of certain ind-schemes closely related to the affine Grassmannian of G. The story is significantly more complicated in 4 dimensions. In that case from physics one expects that the corresponding Coulomb branches are (more or less) singular hyper-kahler manifolds, which look drastically different in different complex structures: while for generic complex structure it is still supposed to be an affine algebraic variety, whose coordinate ring is just given by the equivariant K-theory of the above ind-schemes, for some special complex structure it is not; in that case the corresponding variety has a structure of an integrable system with affine base and with generic fiber being an abelian variety (examples include the total space of the affine Toda integrable system or the so-called Dolbeault hyper-toric varieties). In this talk I will 1) review the above ideas 2) present a conjectural construction of the homogeneous coordinate ring of the above (projective over affine) varieties via the Borel-Moore homology of some spaces related this time to the affine Grassmannian of the affine Kac-Moody group associated to G 3) Explain how to make this construction precise in the case when G is a torus.

March 31, 2026
Geometric Analysis Learning Seminar [3]	Geometric Analysis Learning Seminar	10:30am - KT 801	TBA

Links
[1] https://calendar.math.yale.edu/list/calendar/grid/week/2026-W09 [2] https://calendar.math.yale.edu/list/calendar/grid/week/2026-W11 [3] https://calendar.math.yale.edu/seminars/geometric-analysis-learning-seminar [4] https://calendar.math.yale.edu/seminars/geometry-symmetry-and-physics [5] https://calendar.math.yale.edu/seminars/analysis [6] https://calendar.math.yale.edu/seminars/quantum-topology-and-field-theory [7] https://calendar.math.yale.edu/seminars/learning-seminar-groups-geometry-and-dynamics [8] https://calendar.math.yale.edu/seminars/geometric-analysis-and-application [9] https://calendar.math.yale.edu/seminars/piatetski-shapiro-memorial-lecture [10] https://calendar.math.yale.edu/seminars/colloquium [11] https://calendar.math.yale.edu/seminars/learning-seminar-matroids-and-algebraic-cycles [12] https://calendar.math.yale.edu/seminars/geometry-topology [13] https://calendar.math.yale.edu/list/calendar/grid/week/abstract/2026-W09 [14] https://calendar.math.yale.edu/list/calendar/grid/week/abstract/2026-W11