# Travel: Moduli Spaces, Quantization and Poisson Geometry

> **NSF 01002627DB NSF RESEARCH & RELATED ACTIVIT** · George Mason University (VA) · $20,000

## Abstract

This award supports US-based participants of the conference "Moduli Spaces, Quantization and Poisson Geometry" at the SwissMAP Research Station at Les Diablerets, Switzerland, August 23-28, 2026. The study of moduli spaces parametrizing mathematical structures has a long and rich history, and remains a highly active area of investigation, with close ties to several areas of mathematics, including symplectic geometry, complex geometry, algebraic geometry, representation theory, and mathematical physics. The conference will provide a significant opportunity for researchers at various career stages to interact, fostering research collaborations between research groups located in the US and abroad, and engaging with recent developments in the field.
 
Moduli spaces frequently carry rich geometric structures, including symplectic or Poisson structures and their relatives. Quantization of these moduli spaces links several different areas of mathematics and theoretical physics. A cross-cutting theme of the meeting is the interplay of higher geometric structures, moduli spaces of geometric structures on surfaces, and their quantizations. Topics to be discussed at the conference include: character varieties and moduli spaces of flat connections on surfaces; Teichmuller theory and moduli spaces of geometric structures on surfaces; Symplectic, Poisson and Dirac geometry; Lie groupoids and Lie algebroids; Differentiable stacks, gerbes, and higher structures; Quantization; Twisted K-the

## Key facts

- **NSF award ID:** 2553682
- **Awardee organization:** George Mason University (VA)
- **SAM.gov UEI:** EADLFP7Z72E5
- **PI:** Yiannis Loizides
- **Primary program:** 01002627DB NSF RESEARCH & RELATED ACTIVIT
- **All programs:** CONFERENCE AND WORKSHOPS
- **Estimated total:** $20,000
- **Funds obligated:** $20,000
- **Transaction type:** Standard Grant
- **Period:** 07/01/2026 → 06/30/2027

## Primary source

NSF Award Search: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2553682

## Citation

> US National Science Foundation, Award 2553682, Travel: Moduli Spaces, Quantization and Poisson Geometry. Retrieved via AI Analytics 2026-06-06 from https://api.ai-analytics.org/grant/nsf/2553682. Licensed CC0.

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