Algebra, Geometry, and Physics in the 21st Century

1. Adiabatic Limits of Co-associative Kovalev–Lefschetz Fibrations
Simon Donaldson

2. Ideal Webs, Moduli Spaces of Local Systems, and 3d Calabi–Yau Categories
A. B. Goncharov

3. Spectral Sequences for Cyclic Homology
D. Kaledin

4. Derived Varieties of Complexes and Kostant’s Theorem for



$$mathfrak{gl}(mathrm{m}|mathrm{n})$$
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M. Kapranov, S. Pimenov

5. Higher Symmetry and Gapped Phases of Gauge Theories
Anton Kapustin, Ryan Thorngren

6. Constructing Buildings and Harmonic Maps
Ludmil Katzarkov, Alexander Noll, Pranav Pandit, Carlos Simpson

7. Cohomological Hall Algebras, Semicanonical Bases and Donaldson–Thomas Invariants for 2-dimensional Calabi–Yau Categories (with an Appendix by Ben Davison)
Jie Ren, Yan Soibelman

8. Fukaya A
∞-structures Associated to Lefschetz Fibrations. II
Paul Seidel

Keywords: Mathematics, Algebraic Geometry, Differential Geometry, Category Theory, Homological Algebra