feat: Calculer automatiquement les moyennes après chaque saisie de notes

Les enseignants ont besoin de moyennes à jour immédiatement après la
publication ou modification des notes, sans attendre un batch nocturne.

Le système recalcule via Domain Events synchrones : statistiques
d'évaluation (min/max/moyenne/médiane), moyennes matières pondérées
(normalisation /20), et moyenne générale par élève. Les résultats sont
stockés dans des tables dénormalisées avec cache Redis (TTL 5 min).

Trois endpoints API exposent les données avec contrôle d'accès par rôle.
Une commande console permet le backfill des données historiques au
déploiement.

.agents/skills/bmad-agent-builder/assets/SKILL-template.md

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+---
+name: bmad-{module-code-or-empty}agent-{agent-name}
+description: { skill-description } # [4-6 word summary]. [trigger phrases]
+---
+
+# {displayName}
+
+## Overview
+
+{overview — concise: who this agent is, what it does, args/modes supported, and the outcome. This is the main help output for the skill — any user-facing help info goes here, not in a separate CLI Usage section.}
+
+## Identity
+
+{Who is this agent? One clear sentence.}
+
+## Communication Style
+
+{How does this agent communicate? Be specific with examples.}
+
+## Principles
+
+- {Guiding principle 1}
+- {Guiding principle 2}
+- {Guiding principle 3}
+
+## On Activation
+
+{if-module}
+Load available config from `{project-root}/_bmad/config.yaml` and `{project-root}/_bmad/config.user.yaml` (root level and `{module-code}` section). If config is missing, let the user know `{module-setup-skill}` can configure the module at any time. Resolve and apply throughout the session (defaults in parens):
+
+- `{user_name}` ({default}) — address the user by name
+- `{communication_language}` ({default}) — use for all communications
+- `{document_output_language}` ({default}) — use for generated document content
+- plus any module-specific output paths with their defaults
+  {/if-module}
+  {if-standalone}
+  Load available config from `{project-root}/_bmad/config.yaml` and `{project-root}/_bmad/config.user.yaml` if present. Resolve and apply throughout the session (defaults in parens):
+- `{user_name}` ({default}) — address the user by name
+- `{communication_language}` ({default}) — use for all communications
+- `{document_output_language}` ({default}) — use for generated document content
+  {/if-standalone}
+
+{if-sidecar}
+Load sidecar memory from `{project-root}/_bmad/memory/{skillName}-sidecar/index.md` — this is the single entry point to the memory system and tells the agent what else to load. Load `./references/memory-system.md` for memory discipline. If sidecar doesn't exist, load `./references/init.md` for first-run onboarding.
+{/if-sidecar}
+
+{if-headless}
+If `--headless` or `-H` is passed, load `./references/autonomous-wake.md` and complete the task without interaction.
+{/if-headless}
+
+{if-interactive}
+Greet the user. If memory provides natural context (active program, recent session, pending items), continue from there. Otherwise, offer to show available capabilities.
+{/if-interactive}
+
+## Capabilities
+
+{Succinct routing table — each capability routes to a progressive disclosure file in ./references/:}
+
+| Capability        | Route                               |
+| ----------------- | ----------------------------------- |
+| {Capability Name} | Load `./references/{capability}.md` |
+| Save Memory       | Load `./references/save-memory.md`  |

.agents/skills/bmad-agent-builder/assets/autonomous-wake.md

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+---
+name: autonomous-wake
+description: Default autonomous wake behavior — runs when --headless or -H is passed with no specific task.
+---
+
+# Autonomous Wake
+
+You're running autonomously. No one is here. No task was specified. Execute your default wake behavior and exit.
+
+## Context
+
+- Memory location: `_bmad/memory/{skillName}-sidecar/`
+- Activation time: `{current-time}`
+
+## Instructions
+
+Execute your default wake behavior, write results to memory, and exit.
+
+## Default Wake Behavior
+
+{default-autonomous-behavior}
+
+## Logging
+
+Append to `_bmad/memory/{skillName}-sidecar/autonomous-log.md`:
+
+```markdown
+## {YYYY-MM-DD HH:MM} - Autonomous Wake
+
+- Status: {completed|actions taken}
+- {relevant-details}
+```

.agents/skills/bmad-agent-builder/assets/init-template.md

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+{if-module}
+
+# First-Run Setup for {displayName}
+
+Welcome! Setting up your workspace.
+
+## Memory Location
+
+Creating `_bmad/memory/{skillName}-sidecar/` for persistent memory.
+
+## Initial Structure
+
+Creating:
+
+- `index.md` — essential context, active work
+- `patterns.md` — your preferences I learn
+- `chronology.md` — session timeline
+
+Configuration will be loaded from your module's config.yaml.
+
+{custom-init-questions}
+
+## Ready
+
+Setup complete! I'm ready to help.
+{/if-module}
+
+{if-standalone}
+
+# First-Run Setup for {displayName}
+
+Welcome! Let me set up for this environment.
+
+## Memory Location
+
+Creating `_bmad/memory/{skillName}-sidecar/` for persistent memory.
+
+{custom-init-questions}
+
+## Initial Structure
+
+Creating:
+
+- `index.md` — essential context, active work, saved paths above
+- `patterns.md` — your preferences I learn
+- `chronology.md` — session timeline
+
+## Ready
+
+Setup complete! I'm ready to help.
+{/if-standalone}

.agents/skills/bmad-agent-builder/assets/memory-system.md

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+# Memory System for {displayName}
+
+**Memory location:** `_bmad/memory/{skillName}-sidecar/`
+
+## Core Principle
+
+Tokens are expensive. Only remember what matters. Condense everything to its essence.
+
+## File Structure
+
+### `index.md` — Primary Source
+
+**Load on activation.** Contains:
+
+- Essential context (what we're working on)
+- Active work items
+- User preferences (condensed)
+- Quick reference to other files if needed
+
+**Update:** When essential context changes (immediately for critical data).
+
+### `access-boundaries.md` — Access Control (Required for all agents)
+
+**Load on activation.** Contains:
+
+- **Read access** — Folders/patterns this agent can read from
+- **Write access** — Folders/patterns this agent can write to
+- **Deny zones** — Explicitly forbidden folders/patterns
+- **Created by** — Agent builder at creation time, confirmed/adjusted during init
+
+**Template structure:**
+
+```markdown
+# Access Boundaries for {displayName}
+
+## Read Access
+
+- {folder-path-or-pattern}
+- {another-folder-or-pattern}
+
+## Write Access
+
+- {folder-path-or-pattern}
+- {another-folder-or-pattern}
+
+## Deny Zones
+
+- {explicitly-forbidden-path}
+```
+
+**Critical:** On every activation, load these boundaries first. Before any file operation (read/write), verify the path is within allowed boundaries. If uncertain, ask user.
+
+{if-standalone}
+
+- **User-configured paths** — Additional paths set during init (journal location, etc.) are appended here
+  {/if-standalone}
+
+### `patterns.md` — Learned Patterns
+
+**Load when needed.** Contains:
+
+- User's quirks and preferences discovered over time
+- Recurring patterns or issues
+- Conventions learned
+
+**Format:** Append-only, summarized regularly. Prune outdated entries.
+
+### `chronology.md` — Timeline
+
+**Load when needed.** Contains:
+
+- Session summaries
+- Significant events
+- Progress over time
+
+**Format:** Append-only. Prune regularly; keep only significant events.
+
+## Memory Persistence Strategy
+
+### Write-Through (Immediate Persistence)
+
+Persist immediately when:
+
+1. **User data changes** — preferences, configurations
+2. **Work products created** — entries, documents, code, artifacts
+3. **State transitions** — tasks completed, status changes
+4. **User requests save** — explicit `[SM] - Save Memory` capability
+
+### Checkpoint (Periodic Persistence)
+
+Update periodically after:
+
+- N interactions (default: every 5-10 significant exchanges)
+- Session milestones (completing a capability/task)
+- When file grows beyond target size
+
+### Save Triggers
+
+**After these events, always update memory:**
+
+- {save-trigger-1}
+- {save-trigger-2}
+- {save-trigger-3}
+
+**Memory is updated via the `[SM] - Save Memory` capability which:**
+
+1. Reads current index.md
+2. Updates with current session context
+3. Writes condensed, current version
+4. Checkpoints patterns.md and chronology.md if needed
+
+## Write Discipline
+
+Persist only what matters, condensed to minimum tokens. Route to the appropriate file based on content type (see File Structure above). Update `index.md` when other files change.
+
+## Memory Maintenance
+
+Periodically condense, prune, and consolidate memory files to keep them lean.
+
+## First Run
+
+If sidecar doesn't exist, load `init.md` to create the structure.

.agents/skills/bmad-agent-builder/assets/save-memory.md

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+---
+name: save-memory
+description: Explicitly save current session context to memory
+menu-code: SM
+---
+
+# Save Memory
+
+Immediately persist the current session context to memory.
+
+## Process
+
+Update `index.md` with current session context (active work, progress, preferences, next steps). Checkpoint `patterns.md` and `chronology.md` if significant changes occurred.
+
+## Output
+
+Confirm save with brief summary: "Memory saved. {brief-summary-of-what-was-updated}"