Recent Developments on Equivariant Birational Geometry

Saturday, May 2, 2026
Ungar Bldg, Room 528B

2:00pm
Dr. Pedro Muniz, ICMS Sofia: Non Kaehler MS

3:00pm
Dr. Leonardo Cavenaghi, ICMS Sofia: Equivariant Atoms

4:00pm
Dr. S Albus: A + B conifold transitions and atoms


Sunday, May 3, 2026
Ungar Bldg, Room 528B

2:00pm
Dr. Giovane Nieto, ICMS Sofia: GKM and atoms

3:00pm
Dr. Ivan Cheltsov, University of Edinburgh: Open problems in equivariant birational geometry

4:00pm
Dr. Robert Smiech, University of Edinburgh: G-birational rigidity of del Pezzo threefolds of degree 4

For a Fano variety equipped with an action of a (finite) group G, one can consider a G-equivariant Mori Program along with related notions, like G-solidity or G-birational rigidity. One of the most interesting questions that can be posed in such a setting is as follows: if H is a subgroup of G and X is a H-birationally rigid H-Fano, is X G-birationally rigid? In my talk I will present the results of my research into this question for del Pezzo threefolds of degree 4.

5:00pm
Dr. Ludmil Katzarkov, University of Miami: MMP atoms and high dimensions

We will explore the use of atoms in high dimensions.

6:00pm
Dr. Enrique Becerra, CINVESTAV: The Stringy Spectrum of Projective Varieties: A Dual Perspective

We introduce the "stringy spectrum," a new invariant for projectivevarieties defined via the monodromic motivic volume of the projective dual. After examining how dual singularities encode spectral properties through motivic integration, we derive a blow-up formula for this invariant and discuss its behavior under birational transformations. Finally, we explore how the arithmetic of the spectrum’s exponents provides potential obstructions to rationality.


IMSA activities are generously supported through grant funding from the Simons Foundation, National Sciences Foundation and the University of Miami.

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