docs: update outdated README.md content (#32540)

libs/core/README.md

@@ -21,13 +21,13 @@ For full documentation see the [API reference](https://python.langchain.com/api_
 
 ## 1️⃣ Core Interface: Runnables
 
-The concept of a Runnable is central to LangChain Core – it is the interface that most LangChain Core components implement, giving them
+The concept of a `Runnable` is central to LangChain Core – it is the interface that most LangChain Core components implement, giving them
 
-- a common invocation interface (invoke, batch, stream, etc.)
+- a common invocation interface (`invoke()`, `batch()`, `stream()`, etc.)
 - built-in utilities for retries, fallbacks, schemas and runtime configurability
-- easy deployment with [LangServe](https://github.com/langchain-ai/langserve)
+- easy deployment with [LangGraph](https://github.com/langchain-ai/langgraph)
 
-For more check out the [runnable docs](https://python.langchain.com/docs/expression_language/interface). Examples of components that implement the interface include: LLMs, Chat Models, Prompts, Retrievers, Tools, Output Parsers.
+For more check out the [runnable docs](https://python.langchain.com/docs/concepts/runnables/). Examples of components that implement the interface include: LLMs, Chat Models, Prompts, Retrievers, Tools, Output Parsers.
 
 You can use LangChain Core objects in two ways:
 
@@ -51,7 +51,7 @@ LangChain Expression Language (LCEL) is a _declarative language_ for composing L
 
 LangChain Core compiles LCEL sequences to an _optimized execution plan_, with automatic parallelization, streaming, tracing, and async support.
 
-For more check out the [LCEL docs](https://python.langchain.com/docs/expression_language/).
+For more check out the [LCEL docs](https://python.langchain.com/docs/concepts/lcel/).
 
 ![Diagram outlining the hierarchical organization of the LangChain framework, displaying the interconnected parts across multiple layers.](https://raw.githubusercontent.com/langchain-ai/langchain/master/docs/static/svg/langchain_stack_112024.svg "LangChain Framework Overview")
 
@@ -59,8 +59,6 @@ For more advanced use cases, also check out [LangGraph](https://github.com/langc
 
 ## 📕 Releases & Versioning
 
-`langchain-core` is currently on version `0.1.x`.
-
 As `langchain-core` contains the base abstractions and runtime for the whole LangChain ecosystem, we will communicate any breaking changes with advance notice and version bumps. The exception for this is anything in `langchain_core.beta`. The reason for `langchain_core.beta` is that given the rate of change of the field, being able to move quickly is still a priority, and this module is our attempt to do so.
 
 Minor version increases will occur for: